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Finding the Fourth Proportional to 1,540.76, 2,123.72 and 1,043.21

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Solution

The fourth proportional to 1,540.76, 2,123.72 and 1,043.21 is: 1,437.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.76 : 2,123.72 = 1,043.21 : x
  2. Step 2: Convert to fraction form
    1,540.76/2,123.72 = 1,043.21/x
  3. Step 3: Cross multiply
    1,540.76x = 2,123.72 × 1,043.21
  4. Step 4: Simplify right side
    1,540.76x = 2,215,470.11
  5. Step 5: Solve for x
    x = 2,215,470.11/1,540.76
  6. Step 6: Final answer
    x = 1,437.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.