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Finding the Fourth Proportional to 2,836.16, 3,902.02 and 2,498.55

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Solution

The fourth proportional to 2,836.16, 3,902.02 and 2,498.55 is: 3,437.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.16 : 3,902.02 = 2,498.55 : x
  2. Step 2: Convert to fraction form
    2,836.16/3,902.02 = 2,498.55/x
  3. Step 3: Cross multiply
    2,836.16x = 3,902.02 × 2,498.55
  4. Step 4: Simplify right side
    2,836.16x = 9,749,385.25
  5. Step 5: Solve for x
    x = 9,749,385.25/2,836.16
  6. Step 6: Final answer
    x = 3,437.52

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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.