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Finding the Fourth Proportional to 3,115.86, 4,300.46 and 1,789.89

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Solution

The fourth proportional to 3,115.86, 4,300.46 and 1,789.89 is: 2,470.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.86 : 4,300.46 = 1,789.89 : x
  2. Step 2: Convert to fraction form
    3,115.86/4,300.46 = 1,789.89/x
  3. Step 3: Cross multiply
    3,115.86x = 4,300.46 × 1,789.89
  4. Step 4: Simplify right side
    3,115.86x = 7,697,350.35
  5. Step 5: Solve for x
    x = 7,697,350.35/3,115.86
  6. Step 6: Final answer
    x = 2,470.38

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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.