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Finding the Fourth Proportional to 2,075.02, 3,112.52 and 614.18

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Solution

The fourth proportional to 2,075.02, 3,112.52 and 614.18 is: 921.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.02 : 3,112.52 = 614.18 : x
  2. Step 2: Convert to fraction form
    2,075.02/3,112.52 = 614.18/x
  3. Step 3: Cross multiply
    2,075.02x = 3,112.52 × 614.18
  4. Step 4: Simplify right side
    2,075.02x = 1,911,647.53
  5. Step 5: Solve for x
    x = 1,911,647.53/2,075.02
  6. Step 6: Final answer
    x = 921.27

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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.