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Finding the Fourth Proportional to 1,624.43, 2,437.90 and 651.17

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Solution

The fourth proportional to 1,624.43, 2,437.90 and 651.17 is: 977.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.43 : 2,437.90 = 651.17 : x
  2. Step 2: Convert to fraction form
    1,624.43/2,437.90 = 651.17/x
  3. Step 3: Cross multiply
    1,624.43x = 2,437.90 × 651.17
  4. Step 4: Simplify right side
    1,624.43x = 1,587,487.34
  5. Step 5: Solve for x
    x = 1,587,487.34/1,624.43
  6. Step 6: Final answer
    x = 977.26

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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.