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Finding the Fourth Proportional to 2,310.57, 3,185.87 and 1,867.10

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Solution

The fourth proportional to 2,310.57, 3,185.87 and 1,867.10 is: 2,574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.57 : 3,185.87 = 1,867.10 : x
  2. Step 2: Convert to fraction form
    2,310.57/3,185.87 = 1,867.10/x
  3. Step 3: Cross multiply
    2,310.57x = 3,185.87 × 1,867.10
  4. Step 4: Simplify right side
    2,310.57x = 5,948,312.61
  5. Step 5: Solve for x
    x = 5,948,312.61/2,310.57
  6. Step 6: Final answer
    x = 2,574.39

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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.