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Finding the Fourth Proportional to 1,542.72, 2,310.40 and 891.48

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Solution

The fourth proportional to 1,542.72, 2,310.40 and 891.48 is: 1,335.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.72 : 2,310.40 = 891.48 : x
  2. Step 2: Convert to fraction form
    1,542.72/2,310.40 = 891.48/x
  3. Step 3: Cross multiply
    1,542.72x = 2,310.40 × 891.48
  4. Step 4: Simplify right side
    1,542.72x = 2,059,675.39
  5. Step 5: Solve for x
    x = 2,059,675.39/1,542.72
  6. Step 6: Final answer
    x = 1,335.09

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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.