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Finding the Fourth Proportional to 1,684.80, 2,524.32 and 1,340.28

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Solution

The fourth proportional to 1,684.80, 2,524.32 and 1,340.28 is: 2,008.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.80 : 2,524.32 = 1,340.28 : x
  2. Step 2: Convert to fraction form
    1,684.80/2,524.32 = 1,340.28/x
  3. Step 3: Cross multiply
    1,684.80x = 2,524.32 × 1,340.28
  4. Step 4: Simplify right side
    1,684.80x = 3,383,295.61
  5. Step 5: Solve for x
    x = 3,383,295.61/1,684.80
  6. Step 6: Final answer
    x = 2,008.13

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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.