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Finding the Fourth Proportional to 3,178.72, 4,386.65 and 1,781.47

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Solution

The fourth proportional to 3,178.72, 4,386.65 and 1,781.47 is: 2,458.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.72 : 4,386.65 = 1,781.47 : x
  2. Step 2: Convert to fraction form
    3,178.72/4,386.65 = 1,781.47/x
  3. Step 3: Cross multiply
    3,178.72x = 4,386.65 × 1,781.47
  4. Step 4: Simplify right side
    3,178.72x = 7,814,685.38
  5. Step 5: Solve for x
    x = 7,814,685.38/3,178.72
  6. Step 6: Final answer
    x = 2,458.44

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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.