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Finding the Fourth Proportional to 2,311.57, 3,467.34 and 580.19

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Solution

The fourth proportional to 2,311.57, 3,467.34 and 580.19 is: 870.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.57 : 3,467.34 = 580.19 : x
  2. Step 2: Convert to fraction form
    2,311.57/3,467.34 = 580.19/x
  3. Step 3: Cross multiply
    2,311.57x = 3,467.34 × 580.19
  4. Step 4: Simplify right side
    2,311.57x = 2,011,715.99
  5. Step 5: Solve for x
    x = 2,011,715.99/2,311.57
  6. Step 6: Final answer
    x = 870.28

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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.