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Finding the Fourth Proportional to 2,717.14, 4,075.63 and 868.36

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Solution

The fourth proportional to 2,717.14, 4,075.63 and 868.36 is: 1,302.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.14 : 4,075.63 = 868.36 : x
  2. Step 2: Convert to fraction form
    2,717.14/4,075.63 = 868.36/x
  3. Step 3: Cross multiply
    2,717.14x = 4,075.63 × 868.36
  4. Step 4: Simplify right side
    2,717.14x = 3,539,114.07
  5. Step 5: Solve for x
    x = 3,539,114.07/2,717.14
  6. Step 6: Final answer
    x = 1,302.51

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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.