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Finding the Fourth Proportional to 1,834.52, 2,752.32 and 680

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Solution

The fourth proportional to 1,834.52, 2,752.32 and 680 is: 1,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.52 : 2,752.32 = 680 : x
  2. Step 2: Convert to fraction form
    1,834.52/2,752.32 = 680/x
  3. Step 3: Cross multiply
    1,834.52x = 2,752.32 × 680
  4. Step 4: Simplify right side
    1,834.52x = 1,871,577.60
  5. Step 5: Solve for x
    x = 1,871,577.60/1,834.52
  6. Step 6: Final answer
    x = 1,020.20

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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.