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Finding the Fourth Proportional to 1,624.56, 2,242.13 and 961.63

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Solution

The fourth proportional to 1,624.56, 2,242.13 and 961.63 is: 1,327.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.56 : 2,242.13 = 961.63 : x
  2. Step 2: Convert to fraction form
    1,624.56/2,242.13 = 961.63/x
  3. Step 3: Cross multiply
    1,624.56x = 2,242.13 × 961.63
  4. Step 4: Simplify right side
    1,624.56x = 2,156,088.26
  5. Step 5: Solve for x
    x = 2,156,088.26/1,624.56
  6. Step 6: Final answer
    x = 1,327.18

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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.