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Finding the Fourth Proportional to 2,275.20, 3,410.37 and 959.67

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Solution

The fourth proportional to 2,275.20, 3,410.37 and 959.67 is: 1,438.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.20 : 3,410.37 = 959.67 : x
  2. Step 2: Convert to fraction form
    2,275.20/3,410.37 = 959.67/x
  3. Step 3: Cross multiply
    2,275.20x = 3,410.37 × 959.67
  4. Step 4: Simplify right side
    2,275.20x = 3,272,829.78
  5. Step 5: Solve for x
    x = 3,272,829.78/2,275.20
  6. Step 6: Final answer
    x = 1,438.48

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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.