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Finding the Fourth Proportional to 1,882.40, 2,597.84 and 1,043.15

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Solution

The fourth proportional to 1,882.40, 2,597.84 and 1,043.15 is: 1,439.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.40 : 2,597.84 = 1,043.15 : x
  2. Step 2: Convert to fraction form
    1,882.40/2,597.84 = 1,043.15/x
  3. Step 3: Cross multiply
    1,882.40x = 2,597.84 × 1,043.15
  4. Step 4: Simplify right side
    1,882.40x = 2,709,926.41
  5. Step 5: Solve for x
    x = 2,709,926.41/1,882.40
  6. Step 6: Final answer
    x = 1,439.61

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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.