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Finding the Fourth Proportional to 2,617.90, 3,923.55 and 1,385.86

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Solution

The fourth proportional to 2,617.90, 3,923.55 and 1,385.86 is: 2,077.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.90 : 3,923.55 = 1,385.86 : x
  2. Step 2: Convert to fraction form
    2,617.90/3,923.55 = 1,385.86/x
  3. Step 3: Cross multiply
    2,617.90x = 3,923.55 × 1,385.86
  4. Step 4: Simplify right side
    2,617.90x = 5,437,491.00
  5. Step 5: Solve for x
    x = 5,437,491.00/2,617.90
  6. Step 6: Final answer
    x = 2,077.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.