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Finding the Fourth Proportional to 2,075.84, 3,114.90 and 921.56

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Solution

The fourth proportional to 2,075.84, 3,114.90 and 921.56 is: 1,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.84 : 3,114.90 = 921.56 : x
  2. Step 2: Convert to fraction form
    2,075.84/3,114.90 = 921.56/x
  3. Step 3: Cross multiply
    2,075.84x = 3,114.90 × 921.56
  4. Step 4: Simplify right side
    2,075.84x = 2,870,567.24
  5. Step 5: Solve for x
    x = 2,870,567.24/2,075.84
  6. Step 6: Final answer
    x = 1,382.85

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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.