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Finding the Fourth Proportional to 2,158.13, 3,236.92 and 860.51

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Solution

The fourth proportional to 2,158.13, 3,236.92 and 860.51 is: 1,290.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.13 : 3,236.92 = 860.51 : x
  2. Step 2: Convert to fraction form
    2,158.13/3,236.92 = 860.51/x
  3. Step 3: Cross multiply
    2,158.13x = 3,236.92 × 860.51
  4. Step 4: Simplify right side
    2,158.13x = 2,785,381.54
  5. Step 5: Solve for x
    x = 2,785,381.54/2,158.13
  6. Step 6: Final answer
    x = 1,290.65

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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.