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Finding the Fourth Proportional to 2,494.74, 3,439.40 and 1,707.42

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Solution

The fourth proportional to 2,494.74, 3,439.40 and 1,707.42 is: 2,353.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.74 : 3,439.40 = 1,707.42 : x
  2. Step 2: Convert to fraction form
    2,494.74/3,439.40 = 1,707.42/x
  3. Step 3: Cross multiply
    2,494.74x = 3,439.40 × 1,707.42
  4. Step 4: Simplify right side
    2,494.74x = 5,872,491.81
  5. Step 5: Solve for x
    x = 5,872,491.81/2,494.74
  6. Step 6: Final answer
    x = 2,353.95

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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.