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Finding the Fourth Proportional to 2,758.71, 4,132.57 and 2,464.83

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Solution

The fourth proportional to 2,758.71, 4,132.57 and 2,464.83 is: 3,692.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.71 : 4,132.57 = 2,464.83 : x
  2. Step 2: Convert to fraction form
    2,758.71/4,132.57 = 2,464.83/x
  3. Step 3: Cross multiply
    2,758.71x = 4,132.57 × 2,464.83
  4. Step 4: Simplify right side
    2,758.71x = 10,186,082.51
  5. Step 5: Solve for x
    x = 10,186,082.51/2,758.71
  6. Step 6: Final answer
    x = 3,692.34

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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.