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Finding the Fourth Proportional to 2,158.56, 3,238.38 and 860.40

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Solution

The fourth proportional to 2,158.56, 3,238.38 and 860.40 is: 1,290.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.56 : 3,238.38 = 860.40 : x
  2. Step 2: Convert to fraction form
    2,158.56/3,238.38 = 860.40/x
  3. Step 3: Cross multiply
    2,158.56x = 3,238.38 × 860.40
  4. Step 4: Simplify right side
    2,158.56x = 2,786,302.15
  5. Step 5: Solve for x
    x = 2,786,302.15/2,158.56
  6. Step 6: Final answer
    x = 1,290.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.