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Finding the Fourth Proportional to 2,621.24, 3,932.50 and 866.35

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Solution

The fourth proportional to 2,621.24, 3,932.50 and 866.35 is: 1,299.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.24 : 3,932.50 = 866.35 : x
  2. Step 2: Convert to fraction form
    2,621.24/3,932.50 = 866.35/x
  3. Step 3: Cross multiply
    2,621.24x = 3,932.50 × 866.35
  4. Step 4: Simplify right side
    2,621.24x = 3,406,921.38
  5. Step 5: Solve for x
    x = 3,406,921.38/2,621.24
  6. Step 6: Final answer
    x = 1,299.74

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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.