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Finding the Fourth Proportional to 1,421.72, 2,132.24 and 543.90

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Solution

The fourth proportional to 1,421.72, 2,132.24 and 543.90 is: 815.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.72 : 2,132.24 = 543.90 : x
  2. Step 2: Convert to fraction form
    1,421.72/2,132.24 = 543.90/x
  3. Step 3: Cross multiply
    1,421.72x = 2,132.24 × 543.90
  4. Step 4: Simplify right side
    1,421.72x = 1,159,725.34
  5. Step 5: Solve for x
    x = 1,159,725.34/1,421.72
  6. Step 6: Final answer
    x = 815.72

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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.