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Finding the Fourth Proportional to 1,452.96, 2,180.43 and 631.80

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Solution

The fourth proportional to 1,452.96, 2,180.43 and 631.80 is: 948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.96 : 2,180.43 = 631.80 : x
  2. Step 2: Convert to fraction form
    1,452.96/2,180.43 = 631.80/x
  3. Step 3: Cross multiply
    1,452.96x = 2,180.43 × 631.80
  4. Step 4: Simplify right side
    1,452.96x = 1,377,595.67
  5. Step 5: Solve for x
    x = 1,377,595.67/1,452.96
  6. Step 6: Final answer
    x = 948.13

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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.