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Finding the Fourth Proportional to 1,572.10, 2,353.52 and 985.19

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Solution

The fourth proportional to 1,572.10, 2,353.52 and 985.19 is: 1,474.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.10 : 2,353.52 = 985.19 : x
  2. Step 2: Convert to fraction form
    1,572.10/2,353.52 = 985.19/x
  3. Step 3: Cross multiply
    1,572.10x = 2,353.52 × 985.19
  4. Step 4: Simplify right side
    1,572.10x = 2,318,655.06
  5. Step 5: Solve for x
    x = 2,318,655.06/1,572.10
  6. Step 6: Final answer
    x = 1,474.88

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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.