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Finding the Fourth Proportional to 2,101.32, 2,900.10 and 1,513.80

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Solution

The fourth proportional to 2,101.32, 2,900.10 and 1,513.80 is: 2,089.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.32 : 2,900.10 = 1,513.80 : x
  2. Step 2: Convert to fraction form
    2,101.32/2,900.10 = 1,513.80/x
  3. Step 3: Cross multiply
    2,101.32x = 2,900.10 × 1,513.80
  4. Step 4: Simplify right side
    2,101.32x = 4,390,171.38
  5. Step 5: Solve for x
    x = 4,390,171.38/2,101.32
  6. Step 6: Final answer
    x = 2,089.24

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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.