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Finding the Fourth Proportional to 2,287.85, 3,431.77 and 556.47

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Solution

The fourth proportional to 2,287.85, 3,431.77 and 556.47 is: 834.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.85 : 3,431.77 = 556.47 : x
  2. Step 2: Convert to fraction form
    2,287.85/3,431.77 = 556.47/x
  3. Step 3: Cross multiply
    2,287.85x = 3,431.77 × 556.47
  4. Step 4: Simplify right side
    2,287.85x = 1,909,677.05
  5. Step 5: Solve for x
    x = 1,909,677.05/2,287.85
  6. Step 6: Final answer
    x = 834.71

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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.