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Finding the Fourth Proportional to 1,454.28, 2,181.48 and 588.52

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Solution

The fourth proportional to 1,454.28, 2,181.48 and 588.52 is: 882.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.28 : 2,181.48 = 588.52 : x
  2. Step 2: Convert to fraction form
    1,454.28/2,181.48 = 588.52/x
  3. Step 3: Cross multiply
    1,454.28x = 2,181.48 × 588.52
  4. Step 4: Simplify right side
    1,454.28x = 1,283,844.61
  5. Step 5: Solve for x
    x = 1,283,844.61/1,454.28
  6. Step 6: Final answer
    x = 882.80

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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.