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Finding the Fourth Proportional to 1,453.56, 2,180.42 and 631.89

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Solution

The fourth proportional to 1,453.56, 2,180.42 and 631.89 is: 947.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.56 : 2,180.42 = 631.89 : x
  2. Step 2: Convert to fraction form
    1,453.56/2,180.42 = 631.89/x
  3. Step 3: Cross multiply
    1,453.56x = 2,180.42 × 631.89
  4. Step 4: Simplify right side
    1,453.56x = 1,377,782.43
  5. Step 5: Solve for x
    x = 1,377,782.43/1,453.56
  6. Step 6: Final answer
    x = 947.87

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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.