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Finding the Fourth Proportional to 2,075.70, 3,113.56 and 614.86

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Solution

The fourth proportional to 2,075.70, 3,113.56 and 614.86 is: 922.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.70 : 3,113.56 = 614.86 : x
  2. Step 2: Convert to fraction form
    2,075.70/3,113.56 = 614.86/x
  3. Step 3: Cross multiply
    2,075.70x = 3,113.56 × 614.86
  4. Step 4: Simplify right side
    2,075.70x = 1,914,409.75
  5. Step 5: Solve for x
    x = 1,914,409.75/2,075.70
  6. Step 6: Final answer
    x = 922.30

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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.