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Finding the Fourth Proportional to 3,275.67, 4,913.55 and 967.17

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Solution

The fourth proportional to 3,275.67, 4,913.55 and 967.17 is: 1,450.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.67 : 4,913.55 = 967.17 : x
  2. Step 2: Convert to fraction form
    3,275.67/4,913.55 = 967.17/x
  3. Step 3: Cross multiply
    3,275.67x = 4,913.55 × 967.17
  4. Step 4: Simplify right side
    3,275.67x = 4,752,238.15
  5. Step 5: Solve for x
    x = 4,752,238.15/3,275.67
  6. Step 6: Final answer
    x = 1,450.77

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Similar ratio
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1.5x scale

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.