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Finding the Fourth Proportional to 2,716.78, 4,075.20 and 868.02

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Solution

The fourth proportional to 2,716.78, 4,075.20 and 868.02 is: 1,302.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.78 : 4,075.20 = 868.02 : x
  2. Step 2: Convert to fraction form
    2,716.78/4,075.20 = 868.02/x
  3. Step 3: Cross multiply
    2,716.78x = 4,075.20 × 868.02
  4. Step 4: Simplify right side
    2,716.78x = 3,537,355.10
  5. Step 5: Solve for x
    x = 3,537,355.10/2,716.78
  6. Step 6: Final answer
    x = 1,302.04

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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.