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Finding the Fourth Proportional to 2,717.32, 4,075.40 and 769.54

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Solution

The fourth proportional to 2,717.32, 4,075.40 and 769.54 is: 1,154.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.32 : 4,075.40 = 769.54 : x
  2. Step 2: Convert to fraction form
    2,717.32/4,075.40 = 769.54/x
  3. Step 3: Cross multiply
    2,717.32x = 4,075.40 × 769.54
  4. Step 4: Simplify right side
    2,717.32x = 3,136,183.32
  5. Step 5: Solve for x
    x = 3,136,183.32/2,717.32
  6. Step 6: Final answer
    x = 1,154.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.