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Finding the Fourth Proportional to 2,340.89, 3,508.29 and 952.61

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Solution

The fourth proportional to 2,340.89, 3,508.29 and 952.61 is: 1,427.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.89 : 3,508.29 = 952.61 : x
  2. Step 2: Convert to fraction form
    2,340.89/3,508.29 = 952.61/x
  3. Step 3: Cross multiply
    2,340.89x = 3,508.29 × 952.61
  4. Step 4: Simplify right side
    2,340.89x = 3,342,014.60
  5. Step 5: Solve for x
    x = 3,342,014.60/2,340.89
  6. Step 6: Final answer
    x = 1,427.67

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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.