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Finding the Fourth Proportional to 2,286.48, 3,429.91 and 899.71

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Solution

The fourth proportional to 2,286.48, 3,429.91 and 899.71 is: 1,349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.48 : 3,429.91 = 899.71 : x
  2. Step 2: Convert to fraction form
    2,286.48/3,429.91 = 899.71/x
  3. Step 3: Cross multiply
    2,286.48x = 3,429.91 × 899.71
  4. Step 4: Simplify right side
    2,286.48x = 3,085,924.33
  5. Step 5: Solve for x
    x = 3,085,924.33/2,286.48
  6. Step 6: Final answer
    x = 1,349.64

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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.