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Finding the Fourth Proportional to 2,977.72, 4,109.14 and 1,651.39

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Solution

The fourth proportional to 2,977.72, 4,109.14 and 1,651.39 is: 2,278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.72 : 4,109.14 = 1,651.39 : x
  2. Step 2: Convert to fraction form
    2,977.72/4,109.14 = 1,651.39/x
  3. Step 3: Cross multiply
    2,977.72x = 4,109.14 × 1,651.39
  4. Step 4: Simplify right side
    2,977.72x = 6,785,792.70
  5. Step 5: Solve for x
    x = 6,785,792.70/2,977.72
  6. Step 6: Final answer
    x = 2,278.86

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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.