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Finding the Fourth Proportional to 1,624.90, 2,242.60 and 961.97

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Solution

The fourth proportional to 1,624.90, 2,242.60 and 961.97 is: 1,327.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.90 : 2,242.60 = 961.97 : x
  2. Step 2: Convert to fraction form
    1,624.90/2,242.60 = 961.97/x
  3. Step 3: Cross multiply
    1,624.90x = 2,242.60 × 961.97
  4. Step 4: Simplify right side
    1,624.90x = 2,157,312.02
  5. Step 5: Solve for x
    x = 2,157,312.02/1,624.90
  6. Step 6: Final answer
    x = 1,327.66

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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.