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Finding the Fourth Proportional to 2,708.54, 3,740.86 and 1,822.80

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Solution

The fourth proportional to 2,708.54, 3,740.86 and 1,822.80 is: 2,517.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.54 : 3,740.86 = 1,822.80 : x
  2. Step 2: Convert to fraction form
    2,708.54/3,740.86 = 1,822.80/x
  3. Step 3: Cross multiply
    2,708.54x = 3,740.86 × 1,822.80
  4. Step 4: Simplify right side
    2,708.54x = 6,818,839.61
  5. Step 5: Solve for x
    x = 6,818,839.61/2,708.54
  6. Step 6: Final answer
    x = 2,517.53

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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.