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Finding the Fourth Proportional to 3,402.91, 4,696.78 and 2,223.30

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Solution

The fourth proportional to 3,402.91, 4,696.78 and 2,223.30 is: 3,068.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.91 : 4,696.78 = 2,223.30 : x
  2. Step 2: Convert to fraction form
    3,402.91/4,696.78 = 2,223.30/x
  3. Step 3: Cross multiply
    3,402.91x = 4,696.78 × 2,223.30
  4. Step 4: Simplify right side
    3,402.91x = 10,442,350.97
  5. Step 5: Solve for x
    x = 10,442,350.97/3,402.91
  6. Step 6: Final answer
    x = 3,068.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.