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Finding the Fourth Proportional to 3,080.53, 4,254.78 and 2,084.08

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Solution

The fourth proportional to 3,080.53, 4,254.78 and 2,084.08 is: 2,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,080.53 : 4,254.78 = 2,084.08 : x
  2. Step 2: Convert to fraction form
    3,080.53/4,254.78 = 2,084.08/x
  3. Step 3: Cross multiply
    3,080.53x = 4,254.78 × 2,084.08
  4. Step 4: Simplify right side
    3,080.53x = 8,867,295.34
  5. Step 5: Solve for x
    x = 8,867,295.34/3,080.53
  6. Step 6: Final answer
    x = 2,878.50

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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.