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Finding the Fourth Proportional to 2,202.16, 3,058.88 and 2,166.88

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Solution

The fourth proportional to 2,202.16, 3,058.88 and 2,166.88 is: 3,009.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.16 : 3,058.88 = 2,166.88 : x
  2. Step 2: Convert to fraction form
    2,202.16/3,058.88 = 2,166.88/x
  3. Step 3: Cross multiply
    2,202.16x = 3,058.88 × 2,166.88
  4. Step 4: Simplify right side
    2,202.16x = 6,628,225.89
  5. Step 5: Solve for x
    x = 6,628,225.89/2,202.16
  6. Step 6: Final answer
    x = 3,009.87

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.