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Finding the Fourth Proportional to 2,216.33, 3,058.48 and 1,470.81

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Solution

The fourth proportional to 2,216.33, 3,058.48 and 1,470.81 is: 2,029.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.33 : 3,058.48 = 1,470.81 : x
  2. Step 2: Convert to fraction form
    2,216.33/3,058.48 = 1,470.81/x
  3. Step 3: Cross multiply
    2,216.33x = 3,058.48 × 1,470.81
  4. Step 4: Simplify right side
    2,216.33x = 4,498,442.97
  5. Step 5: Solve for x
    x = 4,498,442.97/2,216.33
  6. Step 6: Final answer
    x = 2,029.68

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