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Finding the Fourth Proportional to 2,144.84, 2,952.33 and 2,061.82

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Solution

The fourth proportional to 2,144.84, 2,952.33 and 2,061.82 is: 2,838.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.84 : 2,952.33 = 2,061.82 : x
  2. Step 2: Convert to fraction form
    2,144.84/2,952.33 = 2,061.82/x
  3. Step 3: Cross multiply
    2,144.84x = 2,952.33 × 2,061.82
  4. Step 4: Simplify right side
    2,144.84x = 6,087,158.28
  5. Step 5: Solve for x
    x = 6,087,158.28/2,144.84
  6. Step 6: Final answer
    x = 2,838.05

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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.