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Finding the Fourth Proportional to 2,601.77, 3,902.23 and 870.39

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Solution

The fourth proportional to 2,601.77, 3,902.23 and 870.39 is: 1,305.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.77 : 3,902.23 = 870.39 : x
  2. Step 2: Convert to fraction form
    2,601.77/3,902.23 = 870.39/x
  3. Step 3: Cross multiply
    2,601.77x = 3,902.23 × 870.39
  4. Step 4: Simplify right side
    2,601.77x = 3,396,461.97
  5. Step 5: Solve for x
    x = 3,396,461.97/2,601.77
  6. Step 6: Final answer
    x = 1,305.44

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1.5x scale

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.