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Finding the Fourth Proportional to 2,882.25, 4,302.32 and 2,474.01

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Solution

The fourth proportional to 2,882.25, 4,302.32 and 2,474.01 is: 3,692.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.25 : 4,302.32 = 2,474.01 : x
  2. Step 2: Convert to fraction form
    2,882.25/4,302.32 = 2,474.01/x
  3. Step 3: Cross multiply
    2,882.25x = 4,302.32 × 2,474.01
  4. Step 4: Simplify right side
    2,882.25x = 10,643,970.33
  5. Step 5: Solve for x
    x = 10,643,970.33/2,882.25
  6. Step 6: Final answer
    x = 3,692.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.