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Finding the Fourth Proportional to 2,494.23, 3,442.05 and 1,708.53

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Solution

The fourth proportional to 2,494.23, 3,442.05 and 1,708.53 is: 2,357.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.23 : 3,442.05 = 1,708.53 : x
  2. Step 2: Convert to fraction form
    2,494.23/3,442.05 = 1,708.53/x
  3. Step 3: Cross multiply
    2,494.23x = 3,442.05 × 1,708.53
  4. Step 4: Simplify right side
    2,494.23x = 5,880,845.69
  5. Step 5: Solve for x
    x = 5,880,845.69/2,494.23
  6. Step 6: Final answer
    x = 2,357.78

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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.