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Finding the Fourth Proportional to 1,834.84, 2,751.76 and 724.08

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Solution

The fourth proportional to 1,834.84, 2,751.76 and 724.08 is: 1,085.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.84 : 2,751.76 = 724.08 : x
  2. Step 2: Convert to fraction form
    1,834.84/2,751.76 = 724.08/x
  3. Step 3: Cross multiply
    1,834.84x = 2,751.76 × 724.08
  4. Step 4: Simplify right side
    1,834.84x = 1,992,494.38
  5. Step 5: Solve for x
    x = 1,992,494.38/1,834.84
  6. Step 6: Final answer
    x = 1,085.92

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Why These Related Problems?

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