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Finding the Fourth Proportional to 3,166.64, 4,369.70 and 1,822.18

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Solution

The fourth proportional to 3,166.64, 4,369.70 and 1,822.18 is: 2,514.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.64 : 4,369.70 = 1,822.18 : x
  2. Step 2: Convert to fraction form
    3,166.64/4,369.70 = 1,822.18/x
  3. Step 3: Cross multiply
    3,166.64x = 4,369.70 × 1,822.18
  4. Step 4: Simplify right side
    3,166.64x = 7,962,379.95
  5. Step 5: Solve for x
    x = 7,962,379.95/3,166.64
  6. Step 6: Final answer
    x = 2,514.46

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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.