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Finding the Fourth Proportional to 2,869.27, 4,293.03 and 1,699.90

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Solution

The fourth proportional to 2,869.27, 4,293.03 and 1,699.90 is: 2,543.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.27 : 4,293.03 = 1,699.90 : x
  2. Step 2: Convert to fraction form
    2,869.27/4,293.03 = 1,699.90/x
  3. Step 3: Cross multiply
    2,869.27x = 4,293.03 × 1,699.90
  4. Step 4: Simplify right side
    2,869.27x = 7,297,721.70
  5. Step 5: Solve for x
    x = 7,297,721.70/2,869.27
  6. Step 6: Final answer
    x = 2,543.41

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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.