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Finding the Fourth Proportional to 2,147.71, 2,962.56 and 1,360.39

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Solution

The fourth proportional to 2,147.71, 2,962.56 and 1,360.39 is: 1,876.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.71 : 2,962.56 = 1,360.39 : x
  2. Step 2: Convert to fraction form
    2,147.71/2,962.56 = 1,360.39/x
  3. Step 3: Cross multiply
    2,147.71x = 2,962.56 × 1,360.39
  4. Step 4: Simplify right side
    2,147.71x = 4,030,234.69
  5. Step 5: Solve for x
    x = 4,030,234.69/2,147.71
  6. Step 6: Final answer
    x = 1,876.53

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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.