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Finding the Fourth Proportional to 2,182.94, 3,012.52 and 1,188.28

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Solution

The fourth proportional to 2,182.94, 3,012.52 and 1,188.28 is: 1,639.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.94 : 3,012.52 = 1,188.28 : x
  2. Step 2: Convert to fraction form
    2,182.94/3,012.52 = 1,188.28/x
  3. Step 3: Cross multiply
    2,182.94x = 3,012.52 × 1,188.28
  4. Step 4: Simplify right side
    2,182.94x = 3,579,717.27
  5. Step 5: Solve for x
    x = 3,579,717.27/2,182.94
  6. Step 6: Final answer
    x = 1,639.86

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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.