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Finding the Fourth Proportional to 1,479.78, 2,042.35 and 882.30

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Solution

The fourth proportional to 1,479.78, 2,042.35 and 882.30 is: 1,217.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.78 : 2,042.35 = 882.30 : x
  2. Step 2: Convert to fraction form
    1,479.78/2,042.35 = 882.30/x
  3. Step 3: Cross multiply
    1,479.78x = 2,042.35 × 882.30
  4. Step 4: Simplify right side
    1,479.78x = 1,801,970.86
  5. Step 5: Solve for x
    x = 1,801,970.86/1,479.78
  6. Step 6: Final answer
    x = 1,217.73

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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.