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Finding the Fourth Proportional to 1,632.76, 2,249.10 and 1,513.16

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Solution

The fourth proportional to 1,632.76, 2,249.10 and 1,513.16 is: 2,084.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.76 : 2,249.10 = 1,513.16 : x
  2. Step 2: Convert to fraction form
    1,632.76/2,249.10 = 1,513.16/x
  3. Step 3: Cross multiply
    1,632.76x = 2,249.10 × 1,513.16
  4. Step 4: Simplify right side
    1,632.76x = 3,403,248.16
  5. Step 5: Solve for x
    x = 3,403,248.16/1,632.76
  6. Step 6: Final answer
    x = 2,084.35

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.