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Finding the Fourth Proportional to 2,075.62, 3,113.76 and 614.92

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Solution

The fourth proportional to 2,075.62, 3,113.76 and 614.92 is: 922.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.62 : 3,113.76 = 614.92 : x
  2. Step 2: Convert to fraction form
    2,075.62/3,113.76 = 614.92/x
  3. Step 3: Cross multiply
    2,075.62x = 3,113.76 × 614.92
  4. Step 4: Simplify right side
    2,075.62x = 1,914,713.30
  5. Step 5: Solve for x
    x = 1,914,713.30/2,075.62
  6. Step 6: Final answer
    x = 922.48

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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.