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Finding the Fourth Proportional to 2,216.51, 3,058.81 and 1,221.82

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Solution

The fourth proportional to 2,216.51, 3,058.81 and 1,221.82 is: 1,686.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.51 : 3,058.81 = 1,221.82 : x
  2. Step 2: Convert to fraction form
    2,216.51/3,058.81 = 1,221.82/x
  3. Step 3: Cross multiply
    2,216.51x = 3,058.81 × 1,221.82
  4. Step 4: Simplify right side
    2,216.51x = 3,737,315.23
  5. Step 5: Solve for x
    x = 3,737,315.23/2,216.51
  6. Step 6: Final answer
    x = 1,686.13

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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.