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Finding the Fourth Proportional to 2,498.50, 3,447.93 and 1,451.17

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Solution

The fourth proportional to 2,498.50, 3,447.93 and 1,451.17 is: 2,002.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.50 : 3,447.93 = 1,451.17 : x
  2. Step 2: Convert to fraction form
    2,498.50/3,447.93 = 1,451.17/x
  3. Step 3: Cross multiply
    2,498.50x = 3,447.93 × 1,451.17
  4. Step 4: Simplify right side
    2,498.50x = 5,003,532.58
  5. Step 5: Solve for x
    x = 5,003,532.58/2,498.50
  6. Step 6: Final answer
    x = 2,002.61

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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.