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Finding the Fourth Proportional to 2,426.02, 3,640.02 and 866.32

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Solution

The fourth proportional to 2,426.02, 3,640.02 and 866.32 is: 1,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.02 : 3,640.02 = 866.32 : x
  2. Step 2: Convert to fraction form
    2,426.02/3,640.02 = 866.32/x
  3. Step 3: Cross multiply
    2,426.02x = 3,640.02 × 866.32
  4. Step 4: Simplify right side
    2,426.02x = 3,153,422.13
  5. Step 5: Solve for x
    x = 3,153,422.13/2,426.02
  6. Step 6: Final answer
    x = 1,299.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.