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Finding the Fourth Proportional to 2,499.65, 3,744 and 1,403.41

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Solution

The fourth proportional to 2,499.65, 3,744 and 1,403.41 is: 2,102.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.65 : 3,744 = 1,403.41 : x
  2. Step 2: Convert to fraction form
    2,499.65/3,744 = 1,403.41/x
  3. Step 3: Cross multiply
    2,499.65x = 3,744 × 1,403.41
  4. Step 4: Simplify right side
    2,499.65x = 5,254,367.04
  5. Step 5: Solve for x
    x = 5,254,367.04/2,499.65
  6. Step 6: Final answer
    x = 2,102.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.