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Finding the Fourth Proportional to 2,426.32, 3,639.30 and 866.15

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Solution

The fourth proportional to 2,426.32, 3,639.30 and 866.15 is: 1,299.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.32 : 3,639.30 = 866.15 : x
  2. Step 2: Convert to fraction form
    2,426.32/3,639.30 = 866.15/x
  3. Step 3: Cross multiply
    2,426.32x = 3,639.30 × 866.15
  4. Step 4: Simplify right side
    2,426.32x = 3,152,164.75
  5. Step 5: Solve for x
    x = 3,152,164.75/2,426.32
  6. Step 6: Final answer
    x = 1,299.16

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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.