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Finding the Fourth Proportional to 2,601.96, 3,902.94 and 870.58

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Solution

The fourth proportional to 2,601.96, 3,902.94 and 870.58 is: 1,305.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.96 : 3,902.94 = 870.58 : x
  2. Step 2: Convert to fraction form
    2,601.96/3,902.94 = 870.58/x
  3. Step 3: Cross multiply
    2,601.96x = 3,902.94 × 870.58
  4. Step 4: Simplify right side
    2,601.96x = 3,397,821.51
  5. Step 5: Solve for x
    x = 3,397,821.51/2,601.96
  6. Step 6: Final answer
    x = 1,305.87

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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.