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Finding the Fourth Proportional to 3,240.76, 4,859.94 and 1,160.20

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Solution

The fourth proportional to 3,240.76, 4,859.94 and 1,160.20 is: 1,739.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,240.76 : 4,859.94 = 1,160.20 : x
  2. Step 2: Convert to fraction form
    3,240.76/4,859.94 = 1,160.20/x
  3. Step 3: Cross multiply
    3,240.76x = 4,859.94 × 1,160.20
  4. Step 4: Simplify right side
    3,240.76x = 5,638,502.39
  5. Step 5: Solve for x
    x = 5,638,502.39/3,240.76
  6. Step 6: Final answer
    x = 1,739.87

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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.