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Finding the Fourth Proportional to 2,164.80, 3,244.42 and 1,240.86

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Solution

The fourth proportional to 2,164.80, 3,244.42 and 1,240.86 is: 1,859.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.80 : 3,244.42 = 1,240.86 : x
  2. Step 2: Convert to fraction form
    2,164.80/3,244.42 = 1,240.86/x
  3. Step 3: Cross multiply
    2,164.80x = 3,244.42 × 1,240.86
  4. Step 4: Simplify right side
    2,164.80x = 4,025,871.00
  5. Step 5: Solve for x
    x = 4,025,871.00/2,164.80
  6. Step 6: Final answer
    x = 1,859.70

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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.