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Finding the Fourth Proportional to 2,158.32, 3,237.00 and 771.75

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Solution

The fourth proportional to 2,158.32, 3,237.00 and 771.75 is: 1,157.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.32 : 3,237.00 = 771.75 : x
  2. Step 2: Convert to fraction form
    2,158.32/3,237.00 = 771.75/x
  3. Step 3: Cross multiply
    2,158.32x = 3,237.00 × 771.75
  4. Step 4: Simplify right side
    2,158.32x = 2,498,147.62
  5. Step 5: Solve for x
    x = 2,498,147.62/2,158.32
  6. Step 6: Final answer
    x = 1,157.45

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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.