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Finding the Fourth Proportional to 2,075.92, 3,114.19 and 614.89

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Solution

The fourth proportional to 2,075.92, 3,114.19 and 614.89 is: 922.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.92 : 3,114.19 = 614.89 : x
  2. Step 2: Convert to fraction form
    2,075.92/3,114.19 = 614.89/x
  3. Step 3: Cross multiply
    2,075.92x = 3,114.19 × 614.89
  4. Step 4: Simplify right side
    2,075.92x = 1,914,867.18
  5. Step 5: Solve for x
    x = 1,914,867.18/2,075.92
  6. Step 6: Final answer
    x = 922.42

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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.