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Finding the Fourth Proportional to 3,061.76, 4,593.77 and 1,744.70

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Solution

The fourth proportional to 3,061.76, 4,593.77 and 1,744.70 is: 2,617.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.76 : 4,593.77 = 1,744.70 : x
  2. Step 2: Convert to fraction form
    3,061.76/4,593.77 = 1,744.70/x
  3. Step 3: Cross multiply
    3,061.76x = 4,593.77 × 1,744.70
  4. Step 4: Simplify right side
    3,061.76x = 8,014,731.91
  5. Step 5: Solve for x
    x = 8,014,731.91/3,061.76
  6. Step 6: Final answer
    x = 2,617.69

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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.