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Finding the Fourth Proportional to 2,340.68, 3,512.30 and 1,821.74

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Solution

The fourth proportional to 2,340.68, 3,512.30 and 1,821.74 is: 2,733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.68 : 3,512.30 = 1,821.74 : x
  2. Step 2: Convert to fraction form
    2,340.68/3,512.30 = 1,821.74/x
  3. Step 3: Cross multiply
    2,340.68x = 3,512.30 × 1,821.74
  4. Step 4: Simplify right side
    2,340.68x = 6,398,470.73
  5. Step 5: Solve for x
    x = 6,398,470.73/2,340.68
  6. Step 6: Final answer
    x = 2,733.60

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