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Finding the Fourth Proportional to 1,454.32, 2,181.96 and 588.40

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Solution

The fourth proportional to 1,454.32, 2,181.96 and 588.40 is: 882.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.32 : 2,181.96 = 588.40 : x
  2. Step 2: Convert to fraction form
    1,454.32/2,181.96 = 588.40/x
  3. Step 3: Cross multiply
    1,454.32x = 2,181.96 × 588.40
  4. Step 4: Simplify right side
    1,454.32x = 1,283,865.26
  5. Step 5: Solve for x
    x = 1,283,865.26/1,454.32
  6. Step 6: Final answer
    x = 882.79

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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.