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Finding the Fourth Proportional to 2,141.16, 2,952.82 and 1,643.82

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Solution

The fourth proportional to 2,141.16, 2,952.82 and 1,643.82 is: 2,266.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.16 : 2,952.82 = 1,643.82 : x
  2. Step 2: Convert to fraction form
    2,141.16/2,952.82 = 1,643.82/x
  3. Step 3: Cross multiply
    2,141.16x = 2,952.82 × 1,643.82
  4. Step 4: Simplify right side
    2,141.16x = 4,853,904.57
  5. Step 5: Solve for x
    x = 4,853,904.57/2,141.16
  6. Step 6: Final answer
    x = 2,266.95

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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.