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Finding the Fourth Proportional to 3,149.38, 4,345.86 and 1,823.18

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Solution

The fourth proportional to 3,149.38, 4,345.86 and 1,823.18 is: 2,515.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.38 : 4,345.86 = 1,823.18 : x
  2. Step 2: Convert to fraction form
    3,149.38/4,345.86 = 1,823.18/x
  3. Step 3: Cross multiply
    3,149.38x = 4,345.86 × 1,823.18
  4. Step 4: Simplify right side
    3,149.38x = 7,923,270.14
  5. Step 5: Solve for x
    x = 7,923,270.14/3,149.38
  6. Step 6: Final answer
    x = 2,515.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.