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Finding the Fourth Proportional to 2,075.71, 3,113.60 and 614.90

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Solution

The fourth proportional to 2,075.71, 3,113.60 and 614.90 is: 922.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.71 : 3,113.60 = 614.90 : x
  2. Step 2: Convert to fraction form
    2,075.71/3,113.60 = 614.90/x
  3. Step 3: Cross multiply
    2,075.71x = 3,113.60 × 614.90
  4. Step 4: Simplify right side
    2,075.71x = 1,914,543.29
  5. Step 5: Solve for x
    x = 1,914,543.29/2,075.71
  6. Step 6: Final answer
    x = 922.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.