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Finding the Fourth Proportional to 1,882, 2,597.10 and 1,042.74

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Solution

The fourth proportional to 1,882, 2,597.10 and 1,042.74 is: 1,438.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882 : 2,597.10 = 1,042.74 : x
  2. Step 2: Convert to fraction form
    1,882/2,597.10 = 1,042.74/x
  3. Step 3: Cross multiply
    1,882x = 2,597.10 × 1,042.74
  4. Step 4: Simplify right side
    1,882x = 2,708,100.05
  5. Step 5: Solve for x
    x = 2,708,100.05/1,882
  6. Step 6: Final answer
    x = 1,438.95

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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.