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Finding the Fourth Proportional to 2,175.52, 3,259.20 and 1,078.60

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Solution

The fourth proportional to 2,175.52, 3,259.20 and 1,078.60 is: 1,615.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.52 : 3,259.20 = 1,078.60 : x
  2. Step 2: Convert to fraction form
    2,175.52/3,259.20 = 1,078.60/x
  3. Step 3: Cross multiply
    2,175.52x = 3,259.20 × 1,078.60
  4. Step 4: Simplify right side
    2,175.52x = 3,515,373.12
  5. Step 5: Solve for x
    x = 3,515,373.12/2,175.52
  6. Step 6: Final answer
    x = 1,615.88

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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.