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Finding the Fourth Proportional to 1,529.57, 2,290.41 and 1,311.62

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Solution

The fourth proportional to 1,529.57, 2,290.41 and 1,311.62 is: 1,964.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.57 : 2,290.41 = 1,311.62 : x
  2. Step 2: Convert to fraction form
    1,529.57/2,290.41 = 1,311.62/x
  3. Step 3: Cross multiply
    1,529.57x = 2,290.41 × 1,311.62
  4. Step 4: Simplify right side
    1,529.57x = 3,004,136.11
  5. Step 5: Solve for x
    x = 3,004,136.11/1,529.57
  6. Step 6: Final answer
    x = 1,964.04

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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.