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Finding the Fourth Proportional to 1,624.13, 2,241.57 and 952.31

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Solution

The fourth proportional to 1,624.13, 2,241.57 and 952.31 is: 1,314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.13 : 2,241.57 = 952.31 : x
  2. Step 2: Convert to fraction form
    1,624.13/2,241.57 = 952.31/x
  3. Step 3: Cross multiply
    1,624.13x = 2,241.57 × 952.31
  4. Step 4: Simplify right side
    1,624.13x = 2,134,669.53
  5. Step 5: Solve for x
    x = 2,134,669.53/1,624.13
  6. Step 6: Final answer
    x = 1,314.35

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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.