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Finding the Fourth Proportional to 3,149.74, 4,346.85 and 1,823.91

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Solution

The fourth proportional to 3,149.74, 4,346.85 and 1,823.91 is: 2,517.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.74 : 4,346.85 = 1,823.91 : x
  2. Step 2: Convert to fraction form
    3,149.74/4,346.85 = 1,823.91/x
  3. Step 3: Cross multiply
    3,149.74x = 4,346.85 × 1,823.91
  4. Step 4: Simplify right side
    3,149.74x = 7,928,263.18
  5. Step 5: Solve for x
    x = 7,928,263.18/3,149.74
  6. Step 6: Final answer
    x = 2,517.12

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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.