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Finding the Fourth Proportional to 2,699.01, 4,046.17 and 943.75

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Solution

The fourth proportional to 2,699.01, 4,046.17 and 943.75 is: 1,414.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.01 : 4,046.17 = 943.75 : x
  2. Step 2: Convert to fraction form
    2,699.01/4,046.17 = 943.75/x
  3. Step 3: Cross multiply
    2,699.01x = 4,046.17 × 943.75
  4. Step 4: Simplify right side
    2,699.01x = 3,818,572.94
  5. Step 5: Solve for x
    x = 3,818,572.94/2,699.01
  6. Step 6: Final answer
    x = 1,414.81

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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.