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Finding the Fourth Proportional to 2,216.57, 3,058.67 and 1,221.60

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Solution

The fourth proportional to 2,216.57, 3,058.67 and 1,221.60 is: 1,685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.57 : 3,058.67 = 1,221.60 : x
  2. Step 2: Convert to fraction form
    2,216.57/3,058.67 = 1,221.60/x
  3. Step 3: Cross multiply
    2,216.57x = 3,058.67 × 1,221.60
  4. Step 4: Simplify right side
    2,216.57x = 3,736,471.27
  5. Step 5: Solve for x
    x = 3,736,471.27/2,216.57
  6. Step 6: Final answer
    x = 1,685.70

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Why These Related Problems?

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