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Finding the Fourth Proportional to 2,180.68, 3,008.03 and 1,394.71

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Solution

The fourth proportional to 2,180.68, 3,008.03 and 1,394.71 is: 1,923.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.68 : 3,008.03 = 1,394.71 : x
  2. Step 2: Convert to fraction form
    2,180.68/3,008.03 = 1,394.71/x
  3. Step 3: Cross multiply
    2,180.68x = 3,008.03 × 1,394.71
  4. Step 4: Simplify right side
    2,180.68x = 4,195,329.52
  5. Step 5: Solve for x
    x = 4,195,329.52/2,180.68
  6. Step 6: Final answer
    x = 1,923.86

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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.