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Finding the Fourth Proportional to 2,385.92, 3,291.90 and 1,377.59

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Solution

The fourth proportional to 2,385.92, 3,291.90 and 1,377.59 is: 1,900.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.92 : 3,291.90 = 1,377.59 : x
  2. Step 2: Convert to fraction form
    2,385.92/3,291.90 = 1,377.59/x
  3. Step 3: Cross multiply
    2,385.92x = 3,291.90 × 1,377.59
  4. Step 4: Simplify right side
    2,385.92x = 4,534,872.06
  5. Step 5: Solve for x
    x = 4,534,872.06/2,385.92
  6. Step 6: Final answer
    x = 1,900.68

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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.