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Finding the Fourth Proportional to 2,632.48, 3,948.73 and 783.61

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Solution

The fourth proportional to 2,632.48, 3,948.73 and 783.61 is: 1,175.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.48 : 3,948.73 = 783.61 : x
  2. Step 2: Convert to fraction form
    2,632.48/3,948.73 = 783.61/x
  3. Step 3: Cross multiply
    2,632.48x = 3,948.73 × 783.61
  4. Step 4: Simplify right side
    2,632.48x = 3,094,264.32
  5. Step 5: Solve for x
    x = 3,094,264.32/2,632.48
  6. Step 6: Final answer
    x = 1,175.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.