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Finding the Fourth Proportional to 2,505.19, 3,757.68 and 631.08

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Solution

The fourth proportional to 2,505.19, 3,757.68 and 631.08 is: 946.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.19 : 3,757.68 = 631.08 : x
  2. Step 2: Convert to fraction form
    2,505.19/3,757.68 = 631.08/x
  3. Step 3: Cross multiply
    2,505.19x = 3,757.68 × 631.08
  4. Step 4: Simplify right side
    2,505.19x = 2,371,396.69
  5. Step 5: Solve for x
    x = 2,371,396.69/2,505.19
  6. Step 6: Final answer
    x = 946.59

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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.