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Finding the Fourth Proportional to 2,158.20, 3,237.52 and 771.66

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Solution

The fourth proportional to 2,158.20, 3,237.52 and 771.66 is: 1,157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.20 : 3,237.52 = 771.66 : x
  2. Step 2: Convert to fraction form
    2,158.20/3,237.52 = 771.66/x
  3. Step 3: Cross multiply
    2,158.20x = 3,237.52 × 771.66
  4. Step 4: Simplify right side
    2,158.20x = 2,498,264.68
  5. Step 5: Solve for x
    x = 2,498,264.68/2,158.20
  6. Step 6: Final answer
    x = 1,157.57

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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.