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Finding the Fourth Proportional to 1,882.56, 2,597.90 and 1,043.27

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Solution

The fourth proportional to 1,882.56, 2,597.90 and 1,043.27 is: 1,439.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.56 : 2,597.90 = 1,043.27 : x
  2. Step 2: Convert to fraction form
    1,882.56/2,597.90 = 1,043.27/x
  3. Step 3: Cross multiply
    1,882.56x = 2,597.90 × 1,043.27
  4. Step 4: Simplify right side
    1,882.56x = 2,710,292.93
  5. Step 5: Solve for x
    x = 2,710,292.93/1,882.56
  6. Step 6: Final answer
    x = 1,439.68

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Why These Related Problems?

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