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Finding the Fourth Proportional to 2,353.97, 3,247.82 and 1,470.67

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Solution

The fourth proportional to 2,353.97, 3,247.82 and 1,470.67 is: 2,029.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.97 : 3,247.82 = 1,470.67 : x
  2. Step 2: Convert to fraction form
    2,353.97/3,247.82 = 1,470.67/x
  3. Step 3: Cross multiply
    2,353.97x = 3,247.82 × 1,470.67
  4. Step 4: Simplify right side
    2,353.97x = 4,776,471.44
  5. Step 5: Solve for x
    x = 4,776,471.44/2,353.97
  6. Step 6: Final answer
    x = 2,029.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.