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Finding the Fourth Proportional to 1,535.10, 2,301.92 and 494.90

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Solution

The fourth proportional to 1,535.10, 2,301.92 and 494.90 is: 742.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.10 : 2,301.92 = 494.90 : x
  2. Step 2: Convert to fraction form
    1,535.10/2,301.92 = 494.90/x
  3. Step 3: Cross multiply
    1,535.10x = 2,301.92 × 494.90
  4. Step 4: Simplify right side
    1,535.10x = 1,139,220.21
  5. Step 5: Solve for x
    x = 1,139,220.21/1,535.10
  6. Step 6: Final answer
    x = 742.11

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