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Finding the Fourth Proportional to 1,452.90, 2,180.25 and 587.22

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Solution

The fourth proportional to 1,452.90, 2,180.25 and 587.22 is: 881.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.90 : 2,180.25 = 587.22 : x
  2. Step 2: Convert to fraction form
    1,452.90/2,180.25 = 587.22/x
  3. Step 3: Cross multiply
    1,452.90x = 2,180.25 × 587.22
  4. Step 4: Simplify right side
    1,452.90x = 1,280,286.41
  5. Step 5: Solve for x
    x = 1,280,286.41/1,452.90
  6. Step 6: Final answer
    x = 881.19

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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.