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Finding the Fourth Proportional to 2,080.46, 3,117.84 and 1,104.60

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Solution

The fourth proportional to 2,080.46, 3,117.84 and 1,104.60 is: 1,655.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.46 : 3,117.84 = 1,104.60 : x
  2. Step 2: Convert to fraction form
    2,080.46/3,117.84 = 1,104.60/x
  3. Step 3: Cross multiply
    2,080.46x = 3,117.84 × 1,104.60
  4. Step 4: Simplify right side
    2,080.46x = 3,443,966.06
  5. Step 5: Solve for x
    x = 3,443,966.06/2,080.46
  6. Step 6: Final answer
    x = 1,655.39

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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.