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Finding the Fourth Proportional to 1,866.95, 2,577.44 and 1,169.27

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Solution

The fourth proportional to 1,866.95, 2,577.44 and 1,169.27 is: 1,614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.95 : 2,577.44 = 1,169.27 : x
  2. Step 2: Convert to fraction form
    1,866.95/2,577.44 = 1,169.27/x
  3. Step 3: Cross multiply
    1,866.95x = 2,577.44 × 1,169.27
  4. Step 4: Simplify right side
    1,866.95x = 3,013,723.27
  5. Step 5: Solve for x
    x = 3,013,723.27/1,866.95
  6. Step 6: Final answer
    x = 1,614.25

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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.