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Finding the Fourth Proportional to 2,166.96, 2,990.42 and 1,222.98

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Solution

The fourth proportional to 2,166.96, 2,990.42 and 1,222.98 is: 1,687.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.96 : 2,990.42 = 1,222.98 : x
  2. Step 2: Convert to fraction form
    2,166.96/2,990.42 = 1,222.98/x
  3. Step 3: Cross multiply
    2,166.96x = 2,990.42 × 1,222.98
  4. Step 4: Simplify right side
    2,166.96x = 3,657,223.85
  5. Step 5: Solve for x
    x = 3,657,223.85/2,166.96
  6. Step 6: Final answer
    x = 1,687.72

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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.