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Finding the Fourth Proportional to 2,600.70, 3,886.35 and 1,871.70

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Solution

The fourth proportional to 2,600.70, 3,886.35 and 1,871.70 is: 2,796.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.70 : 3,886.35 = 1,871.70 : x
  2. Step 2: Convert to fraction form
    2,600.70/3,886.35 = 1,871.70/x
  3. Step 3: Cross multiply
    2,600.70x = 3,886.35 × 1,871.70
  4. Step 4: Simplify right side
    2,600.70x = 7,274,081.30
  5. Step 5: Solve for x
    x = 7,274,081.30/2,600.70
  6. Step 6: Final answer
    x = 2,796.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.