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Finding the Fourth Proportional to 1,965.28, 2,948.12 and 666.78

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Solution

The fourth proportional to 1,965.28, 2,948.12 and 666.78 is: 1,000.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.28 : 2,948.12 = 666.78 : x
  2. Step 2: Convert to fraction form
    1,965.28/2,948.12 = 666.78/x
  3. Step 3: Cross multiply
    1,965.28x = 2,948.12 × 666.78
  4. Step 4: Simplify right side
    1,965.28x = 1,965,747.45
  5. Step 5: Solve for x
    x = 1,965,747.45/1,965.28
  6. Step 6: Final answer
    x = 1,000.24

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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.