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Finding the Fourth Proportional to 2,229.17, 3,343.62 and 585.68

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Solution

The fourth proportional to 2,229.17, 3,343.62 and 585.68 is: 878.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.17 : 3,343.62 = 585.68 : x
  2. Step 2: Convert to fraction form
    2,229.17/3,343.62 = 585.68/x
  3. Step 3: Cross multiply
    2,229.17x = 3,343.62 × 585.68
  4. Step 4: Simplify right side
    2,229.17x = 1,958,291.36
  5. Step 5: Solve for x
    x = 1,958,291.36/2,229.17
  6. Step 6: Final answer
    x = 878.48

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Double scale
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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.