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Finding the Fourth Proportional to 3,149.54, 4,345.89 and 1,823.38

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Solution

The fourth proportional to 3,149.54, 4,345.89 and 1,823.38 is: 2,515.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.54 : 4,345.89 = 1,823.38 : x
  2. Step 2: Convert to fraction form
    3,149.54/4,345.89 = 1,823.38/x
  3. Step 3: Cross multiply
    3,149.54x = 4,345.89 × 1,823.38
  4. Step 4: Simplify right side
    3,149.54x = 7,924,208.91
  5. Step 5: Solve for x
    x = 7,924,208.91/3,149.54
  6. Step 6: Final answer
    x = 2,515.99

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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.