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Finding the Fourth Proportional to 2,743.04, 4,114.60 and 691.04

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Solution

The fourth proportional to 2,743.04, 4,114.60 and 691.04 is: 1,036.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.04 : 4,114.60 = 691.04 : x
  2. Step 2: Convert to fraction form
    2,743.04/4,114.60 = 691.04/x
  3. Step 3: Cross multiply
    2,743.04x = 4,114.60 × 691.04
  4. Step 4: Simplify right side
    2,743.04x = 2,843,353.18
  5. Step 5: Solve for x
    x = 2,843,353.18/2,743.04
  6. Step 6: Final answer
    x = 1,036.57

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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.