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Finding the Fourth Proportional to 2,716.49, 4,075.24 and 868.07

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Solution

The fourth proportional to 2,716.49, 4,075.24 and 868.07 is: 1,302.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.49 : 4,075.24 = 868.07 : x
  2. Step 2: Convert to fraction form
    2,716.49/4,075.24 = 868.07/x
  3. Step 3: Cross multiply
    2,716.49x = 4,075.24 × 868.07
  4. Step 4: Simplify right side
    2,716.49x = 3,537,577.87
  5. Step 5: Solve for x
    x = 3,537,577.87/2,716.49
  6. Step 6: Final answer
    x = 1,302.26

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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.