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Finding the Fourth Proportional to 3,307.10, 4,959.48 and 966.44

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Solution

The fourth proportional to 3,307.10, 4,959.48 and 966.44 is: 1,449.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.10 : 4,959.48 = 966.44 : x
  2. Step 2: Convert to fraction form
    3,307.10/4,959.48 = 966.44/x
  3. Step 3: Cross multiply
    3,307.10x = 4,959.48 × 966.44
  4. Step 4: Simplify right side
    3,307.10x = 4,793,039.85
  5. Step 5: Solve for x
    x = 4,793,039.85/3,307.10
  6. Step 6: Final answer
    x = 1,449.32

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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.