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Finding the Fourth Proportional to 2,499.35, 3,449.13 and 1,744.23

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Solution

The fourth proportional to 2,499.35, 3,449.13 and 1,744.23 is: 2,407.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.35 : 3,449.13 = 1,744.23 : x
  2. Step 2: Convert to fraction form
    2,499.35/3,449.13 = 1,744.23/x
  3. Step 3: Cross multiply
    2,499.35x = 3,449.13 × 1,744.23
  4. Step 4: Simplify right side
    2,499.35x = 6,016,077.67
  5. Step 5: Solve for x
    x = 6,016,077.67/2,499.35
  6. Step 6: Final answer
    x = 2,407.05

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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.