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Finding the Fourth Proportional to 3,073.86, 4,241.49 and 1,747.28

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Solution

The fourth proportional to 3,073.86, 4,241.49 and 1,747.28 is: 2,411.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.86 : 4,241.49 = 1,747.28 : x
  2. Step 2: Convert to fraction form
    3,073.86/4,241.49 = 1,747.28/x
  3. Step 3: Cross multiply
    3,073.86x = 4,241.49 × 1,747.28
  4. Step 4: Simplify right side
    3,073.86x = 7,411,070.65
  5. Step 5: Solve for x
    x = 7,411,070.65/3,073.86
  6. Step 6: Final answer
    x = 2,411.00

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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.