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Finding the Fourth Proportional to 1,606.96, 2,397.32 and 1,562.32

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Solution

The fourth proportional to 1,606.96, 2,397.32 and 1,562.32 is: 2,330.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.96 : 2,397.32 = 1,562.32 : x
  2. Step 2: Convert to fraction form
    1,606.96/2,397.32 = 1,562.32/x
  3. Step 3: Cross multiply
    1,606.96x = 2,397.32 × 1,562.32
  4. Step 4: Simplify right side
    1,606.96x = 3,745,380.98
  5. Step 5: Solve for x
    x = 3,745,380.98/1,606.96
  6. Step 6: Final answer
    x = 2,330.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.