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Finding the Fourth Proportional to 3,073.94, 4,242.02 and 1,747.65

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Solution

The fourth proportional to 3,073.94, 4,242.02 and 1,747.65 is: 2,411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.94 : 4,242.02 = 1,747.65 : x
  2. Step 2: Convert to fraction form
    3,073.94/4,242.02 = 1,747.65/x
  3. Step 3: Cross multiply
    3,073.94x = 4,242.02 × 1,747.65
  4. Step 4: Simplify right side
    3,073.94x = 7,413,542.86
  5. Step 5: Solve for x
    x = 7,413,542.86/3,073.94
  6. Step 6: Final answer
    x = 2,411.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.