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Finding the Fourth Proportional to 2,170.62, 3,256.98 and 1,348.68

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Solution

The fourth proportional to 2,170.62, 3,256.98 and 1,348.68 is: 2,023.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.62 : 3,256.98 = 1,348.68 : x
  2. Step 2: Convert to fraction form
    2,170.62/3,256.98 = 1,348.68/x
  3. Step 3: Cross multiply
    2,170.62x = 3,256.98 × 1,348.68
  4. Step 4: Simplify right side
    2,170.62x = 4,392,623.79
  5. Step 5: Solve for x
    x = 4,392,623.79/2,170.62
  6. Step 6: Final answer
    x = 2,023.67

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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.