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Finding the Fourth Proportional to 2,498.50, 3,422.90 and 2,405.02

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Solution

The fourth proportional to 2,498.50, 3,422.90 and 2,405.02 is: 3,294.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.50 : 3,422.90 = 2,405.02 : x
  2. Step 2: Convert to fraction form
    2,498.50/3,422.90 = 2,405.02/x
  3. Step 3: Cross multiply
    2,498.50x = 3,422.90 × 2,405.02
  4. Step 4: Simplify right side
    2,498.50x = 8,232,142.96
  5. Step 5: Solve for x
    x = 8,232,142.96/2,498.50
  6. Step 6: Final answer
    x = 3,294.83

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.