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Finding the Fourth Proportional to 2,499.25, 3,423.96 and 2,405.80

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Solution

The fourth proportional to 2,499.25, 3,423.96 and 2,405.80 is: 3,295.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.25 : 3,423.96 = 2,405.80 : x
  2. Step 2: Convert to fraction form
    2,499.25/3,423.96 = 2,405.80/x
  3. Step 3: Cross multiply
    2,499.25x = 3,423.96 × 2,405.80
  4. Step 4: Simplify right side
    2,499.25x = 8,237,354.41
  5. Step 5: Solve for x
    x = 8,237,354.41/2,499.25
  6. Step 6: Final answer
    x = 3,295.93

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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.