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Finding the Fourth Proportional to 2,996.64, 4,490.28 and 2,265.66

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Solution

The fourth proportional to 2,996.64, 4,490.28 and 2,265.66 is: 3,394.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.64 : 4,490.28 = 2,265.66 : x
  2. Step 2: Convert to fraction form
    2,996.64/4,490.28 = 2,265.66/x
  3. Step 3: Cross multiply
    2,996.64x = 4,490.28 × 2,265.66
  4. Step 4: Simplify right side
    2,996.64x = 10,173,447.78
  5. Step 5: Solve for x
    x = 10,173,447.78/2,996.64
  6. Step 6: Final answer
    x = 3,394.95

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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.