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Finding the Fourth Proportional to 2,717.56, 4,075.66 and 769.96

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Solution

The fourth proportional to 2,717.56, 4,075.66 and 769.96 is: 1,154.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.56 : 4,075.66 = 769.96 : x
  2. Step 2: Convert to fraction form
    2,717.56/4,075.66 = 769.96/x
  3. Step 3: Cross multiply
    2,717.56x = 4,075.66 × 769.96
  4. Step 4: Simplify right side
    2,717.56x = 3,138,095.17
  5. Step 5: Solve for x
    x = 3,138,095.17/2,717.56
  6. Step 6: Final answer
    x = 1,154.75

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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.