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Finding the Fourth Proportional to 2,138.48, 3,207.12 and 1,357.30

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Solution

The fourth proportional to 2,138.48, 3,207.12 and 1,357.30 is: 2,035.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.48 : 3,207.12 = 1,357.30 : x
  2. Step 2: Convert to fraction form
    2,138.48/3,207.12 = 1,357.30/x
  3. Step 3: Cross multiply
    2,138.48x = 3,207.12 × 1,357.30
  4. Step 4: Simplify right side
    2,138.48x = 4,353,023.98
  5. Step 5: Solve for x
    x = 4,353,023.98/2,138.48
  6. Step 6: Final answer
    x = 2,035.57

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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.