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Finding the Fourth Proportional to 2,803.65, 4,199.36 and 2,311.17

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Solution

The fourth proportional to 2,803.65, 4,199.36 and 2,311.17 is: 3,461.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.65 : 4,199.36 = 2,311.17 : x
  2. Step 2: Convert to fraction form
    2,803.65/4,199.36 = 2,311.17/x
  3. Step 3: Cross multiply
    2,803.65x = 4,199.36 × 2,311.17
  4. Step 4: Simplify right side
    2,803.65x = 9,705,423.30
  5. Step 5: Solve for x
    x = 9,705,423.30/2,803.65
  6. Step 6: Final answer
    x = 3,461.71

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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.