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Finding the Fourth Proportional to 3,109.78, 4,666.29 and 1,378

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Solution

The fourth proportional to 3,109.78, 4,666.29 and 1,378 is: 2,067.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.78 : 4,666.29 = 1,378 : x
  2. Step 2: Convert to fraction form
    3,109.78/4,666.29 = 1,378/x
  3. Step 3: Cross multiply
    3,109.78x = 4,666.29 × 1,378
  4. Step 4: Simplify right side
    3,109.78x = 6,430,147.62
  5. Step 5: Solve for x
    x = 6,430,147.62/3,109.78
  6. Step 6: Final answer
    x = 2,067.72

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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.