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Finding the Fourth Proportional to 2,182.90, 3,012.42 and 1,188.17

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Solution

The fourth proportional to 2,182.90, 3,012.42 and 1,188.17 is: 1,639.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.90 : 3,012.42 = 1,188.17 : x
  2. Step 2: Convert to fraction form
    2,182.90/3,012.42 = 1,188.17/x
  3. Step 3: Cross multiply
    2,182.90x = 3,012.42 × 1,188.17
  4. Step 4: Simplify right side
    2,182.90x = 3,579,261.13
  5. Step 5: Solve for x
    x = 3,579,261.13/2,182.90
  6. Step 6: Final answer
    x = 1,639.68

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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.