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Finding the Fourth Proportional to 1,562.92, 2,157.72 and 1,500.96

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Solution

The fourth proportional to 1,562.92, 2,157.72 and 1,500.96 is: 2,072.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.92 : 2,157.72 = 1,500.96 : x
  2. Step 2: Convert to fraction form
    1,562.92/2,157.72 = 1,500.96/x
  3. Step 3: Cross multiply
    1,562.92x = 2,157.72 × 1,500.96
  4. Step 4: Simplify right side
    1,562.92x = 3,238,651.41
  5. Step 5: Solve for x
    x = 3,238,651.41/1,562.92
  6. Step 6: Final answer
    x = 2,072.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.