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Finding the Fourth Proportional to 3,031.86, 4,184.01 and 1,789.86

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Solution

The fourth proportional to 3,031.86, 4,184.01 and 1,789.86 is: 2,470.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.86 : 4,184.01 = 1,789.86 : x
  2. Step 2: Convert to fraction form
    3,031.86/4,184.01 = 1,789.86/x
  3. Step 3: Cross multiply
    3,031.86x = 4,184.01 × 1,789.86
  4. Step 4: Simplify right side
    3,031.86x = 7,488,792.14
  5. Step 5: Solve for x
    x = 7,488,792.14/3,031.86
  6. Step 6: Final answer
    x = 2,470.03

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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.