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Finding the Fourth Proportional to 2,166.42, 2,989.61 and 1,222.22

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Solution

The fourth proportional to 2,166.42, 2,989.61 and 1,222.22 is: 1,686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.42 : 2,989.61 = 1,222.22 : x
  2. Step 2: Convert to fraction form
    2,166.42/2,989.61 = 1,222.22/x
  3. Step 3: Cross multiply
    2,166.42x = 2,989.61 × 1,222.22
  4. Step 4: Simplify right side
    2,166.42x = 3,653,967.08
  5. Step 5: Solve for x
    x = 3,653,967.08/2,166.42
  6. Step 6: Final answer
    x = 1,686.64

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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.