Home / 2,138.24-3,207.63-1,041.68

Finding the Fourth Proportional to 2,138.24, 3,207.63 and 1,041.68

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Solution

The fourth proportional to 2,138.24, 3,207.63 and 1,041.68 is: 1,562.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.24 : 3,207.63 = 1,041.68 : x
  2. Step 2: Convert to fraction form
    2,138.24/3,207.63 = 1,041.68/x
  3. Step 3: Cross multiply
    2,138.24x = 3,207.63 × 1,041.68
  4. Step 4: Simplify right side
    2,138.24x = 3,341,324.02
  5. Step 5: Solve for x
    x = 3,341,324.02/2,138.24
  6. Step 6: Final answer
    x = 1,562.65

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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.