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Finding the Fourth Proportional to 2,310.38, 3,463.77 and 848.78

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Solution

The fourth proportional to 2,310.38, 3,463.77 and 848.78 is: 1,272.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.38 : 3,463.77 = 848.78 : x
  2. Step 2: Convert to fraction form
    2,310.38/3,463.77 = 848.78/x
  3. Step 3: Cross multiply
    2,310.38x = 3,463.77 × 848.78
  4. Step 4: Simplify right side
    2,310.38x = 2,939,978.70
  5. Step 5: Solve for x
    x = 2,939,978.70/2,310.38
  6. Step 6: Final answer
    x = 1,272.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.