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Finding the Fourth Proportional to 3,177.63, 4,385.12 and 1,780.38

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Solution

The fourth proportional to 3,177.63, 4,385.12 and 1,780.38 is: 2,456.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.63 : 4,385.12 = 1,780.38 : x
  2. Step 2: Convert to fraction form
    3,177.63/4,385.12 = 1,780.38/x
  3. Step 3: Cross multiply
    3,177.63x = 4,385.12 × 1,780.38
  4. Step 4: Simplify right side
    3,177.63x = 7,807,179.95
  5. Step 5: Solve for x
    x = 7,807,179.95/3,177.63
  6. Step 6: Final answer
    x = 2,456.92

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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.