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Finding the Fourth Proportional to 1,566.11, 2,161.24 and 857.95

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Solution

The fourth proportional to 1,566.11, 2,161.24 and 857.95 is: 1,183.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.11 : 2,161.24 = 857.95 : x
  2. Step 2: Convert to fraction form
    1,566.11/2,161.24 = 857.95/x
  3. Step 3: Cross multiply
    1,566.11x = 2,161.24 × 857.95
  4. Step 4: Simplify right side
    1,566.11x = 1,854,228.31
  5. Step 5: Solve for x
    x = 1,854,228.31/1,566.11
  6. Step 6: Final answer
    x = 1,183.97

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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.