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Finding the Fourth Proportional to 2,549.76, 3,821.07 and 1,159.69

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Solution

The fourth proportional to 2,549.76, 3,821.07 and 1,159.69 is: 1,737.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.76 : 3,821.07 = 1,159.69 : x
  2. Step 2: Convert to fraction form
    2,549.76/3,821.07 = 1,159.69/x
  3. Step 3: Cross multiply
    2,549.76x = 3,821.07 × 1,159.69
  4. Step 4: Simplify right side
    2,549.76x = 4,431,256.67
  5. Step 5: Solve for x
    x = 4,431,256.67/2,549.76
  6. Step 6: Final answer
    x = 1,737.91

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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.