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Finding the Fourth Proportional to 2,075.82, 3,114.38 and 614.98

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Solution

The fourth proportional to 2,075.82, 3,114.38 and 614.98 is: 922.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.82 : 3,114.38 = 614.98 : x
  2. Step 2: Convert to fraction form
    2,075.82/3,114.38 = 614.98/x
  3. Step 3: Cross multiply
    2,075.82x = 3,114.38 × 614.98
  4. Step 4: Simplify right side
    2,075.82x = 1,915,281.41
  5. Step 5: Solve for x
    x = 1,915,281.41/2,075.82
  6. Step 6: Final answer
    x = 922.66

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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.