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Finding the Fourth Proportional to 2,075.94, 3,113.01 and 614.70

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Solution

The fourth proportional to 2,075.94, 3,113.01 and 614.70 is: 921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.94 : 3,113.01 = 614.70 : x
  2. Step 2: Convert to fraction form
    2,075.94/3,113.01 = 614.70/x
  3. Step 3: Cross multiply
    2,075.94x = 3,113.01 × 614.70
  4. Step 4: Simplify right side
    2,075.94x = 1,913,567.25
  5. Step 5: Solve for x
    x = 1,913,567.25/2,075.94
  6. Step 6: Final answer
    x = 921.78

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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.