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Finding the Fourth Proportional to 3,039.54, 4,194.63 and 1,781.49

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Solution

The fourth proportional to 3,039.54, 4,194.63 and 1,781.49 is: 2,458.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039.54 : 4,194.63 = 1,781.49 : x
  2. Step 2: Convert to fraction form
    3,039.54/4,194.63 = 1,781.49/x
  3. Step 3: Cross multiply
    3,039.54x = 4,194.63 × 1,781.49
  4. Step 4: Simplify right side
    3,039.54x = 7,472,691.40
  5. Step 5: Solve for x
    x = 7,472,691.40/3,039.54
  6. Step 6: Final answer
    x = 2,458.49

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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.