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Finding the Fourth Proportional to 2,471.80, 3,693.18 and 2,385.66

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Solution

The fourth proportional to 2,471.80, 3,693.18 and 2,385.66 is: 3,564.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.80 : 3,693.18 = 2,385.66 : x
  2. Step 2: Convert to fraction form
    2,471.80/3,693.18 = 2,385.66/x
  3. Step 3: Cross multiply
    2,471.80x = 3,693.18 × 2,385.66
  4. Step 4: Simplify right side
    2,471.80x = 8,810,671.80
  5. Step 5: Solve for x
    x = 8,810,671.80/2,471.80
  6. Step 6: Final answer
    x = 3,564.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.