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Finding the Fourth Proportional to 2,177.71, 3,005.98 and 1,338.45

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Solution

The fourth proportional to 2,177.71, 3,005.98 and 1,338.45 is: 1,847.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.71 : 3,005.98 = 1,338.45 : x
  2. Step 2: Convert to fraction form
    2,177.71/3,005.98 = 1,338.45/x
  3. Step 3: Cross multiply
    2,177.71x = 3,005.98 × 1,338.45
  4. Step 4: Simplify right side
    2,177.71x = 4,023,350.58
  5. Step 5: Solve for x
    x = 4,023,350.58/2,177.71
  6. Step 6: Final answer
    x = 1,847.52

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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.