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Finding the Fourth Proportional to 2,237.56, 3,352.62 and 775.92

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Solution

The fourth proportional to 2,237.56, 3,352.62 and 775.92 is: 1,162.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.56 : 3,352.62 = 775.92 : x
  2. Step 2: Convert to fraction form
    2,237.56/3,352.62 = 775.92/x
  3. Step 3: Cross multiply
    2,237.56x = 3,352.62 × 775.92
  4. Step 4: Simplify right side
    2,237.56x = 2,601,364.91
  5. Step 5: Solve for x
    x = 2,601,364.91/2,237.56
  6. Step 6: Final answer
    x = 1,162.59

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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.