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Finding the Fourth Proportional to 2,182.98, 3,012.51 and 1,188.27

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Solution

The fourth proportional to 2,182.98, 3,012.51 and 1,188.27 is: 1,639.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.98 : 3,012.51 = 1,188.27 : x
  2. Step 2: Convert to fraction form
    2,182.98/3,012.51 = 1,188.27/x
  3. Step 3: Cross multiply
    2,182.98x = 3,012.51 × 1,188.27
  4. Step 4: Simplify right side
    2,182.98x = 3,579,675.26
  5. Step 5: Solve for x
    x = 3,579,675.26/2,182.98
  6. Step 6: Final answer
    x = 1,639.81

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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.