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Finding the Fourth Proportional to 2,755.78, 3,797.85 and 1,871.62

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Solution

The fourth proportional to 2,755.78, 3,797.85 and 1,871.62 is: 2,579.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.78 : 3,797.85 = 1,871.62 : x
  2. Step 2: Convert to fraction form
    2,755.78/3,797.85 = 1,871.62/x
  3. Step 3: Cross multiply
    2,755.78x = 3,797.85 × 1,871.62
  4. Step 4: Simplify right side
    2,755.78x = 7,108,132.02
  5. Step 5: Solve for x
    x = 7,108,132.02/2,755.78
  6. Step 6: Final answer
    x = 2,579.35

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1.5x scale

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.