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Finding the Fourth Proportional to 2,065.47, 2,854.44 and 1,691.85

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Solution

The fourth proportional to 2,065.47, 2,854.44 and 1,691.85 is: 2,338.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.47 : 2,854.44 = 1,691.85 : x
  2. Step 2: Convert to fraction form
    2,065.47/2,854.44 = 1,691.85/x
  3. Step 3: Cross multiply
    2,065.47x = 2,854.44 × 1,691.85
  4. Step 4: Simplify right side
    2,065.47x = 4,829,295.02
  5. Step 5: Solve for x
    x = 4,829,295.02/2,065.47
  6. Step 6: Final answer
    x = 2,338.11

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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.