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Finding the Fourth Proportional to 1,881.96, 2,597.14 and 1,042.64

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Solution

The fourth proportional to 1,881.96, 2,597.14 and 1,042.64 is: 1,438.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.96 : 2,597.14 = 1,042.64 : x
  2. Step 2: Convert to fraction form
    1,881.96/2,597.14 = 1,042.64/x
  3. Step 3: Cross multiply
    1,881.96x = 2,597.14 × 1,042.64
  4. Step 4: Simplify right side
    1,881.96x = 2,707,882.05
  5. Step 5: Solve for x
    x = 2,707,882.05/1,881.96
  6. Step 6: Final answer
    x = 1,438.86

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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.