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Finding the Fourth Proportional to 2,865.66, 4,295.22 and 1,302.17

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Solution

The fourth proportional to 2,865.66, 4,295.22 and 1,302.17 is: 1,951.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.66 : 4,295.22 = 1,302.17 : x
  2. Step 2: Convert to fraction form
    2,865.66/4,295.22 = 1,302.17/x
  3. Step 3: Cross multiply
    2,865.66x = 4,295.22 × 1,302.17
  4. Step 4: Simplify right side
    2,865.66x = 5,593,092.17
  5. Step 5: Solve for x
    x = 5,593,092.17/2,865.66
  6. Step 6: Final answer
    x = 1,951.77

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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.