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Finding the Fourth Proportional to 2,426.00, 3,639.53 and 965.12

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Solution

The fourth proportional to 2,426.00, 3,639.53 and 965.12 is: 1,447.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.00 : 3,639.53 = 965.12 : x
  2. Step 2: Convert to fraction form
    2,426.00/3,639.53 = 965.12/x
  3. Step 3: Cross multiply
    2,426.00x = 3,639.53 × 965.12
  4. Step 4: Simplify right side
    2,426.00x = 3,512,567.41
  5. Step 5: Solve for x
    x = 3,512,567.41/2,426.00
  6. Step 6: Final answer
    x = 1,447.88

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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.