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Finding the Fourth Proportional to 2,166.44, 2,989.70 and 1,234.92

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Solution

The fourth proportional to 2,166.44, 2,989.70 and 1,234.92 is: 1,704.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.44 : 2,989.70 = 1,234.92 : x
  2. Step 2: Convert to fraction form
    2,166.44/2,989.70 = 1,234.92/x
  3. Step 3: Cross multiply
    2,166.44x = 2,989.70 × 1,234.92
  4. Step 4: Simplify right side
    2,166.44x = 3,692,040.32
  5. Step 5: Solve for x
    x = 3,692,040.32/2,166.44
  6. Step 6: Final answer
    x = 1,704.20

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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.