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Finding the Fourth Proportional to 2,864.67, 3,955.13 and 1,983.18

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Solution

The fourth proportional to 2,864.67, 3,955.13 and 1,983.18 is: 2,738.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.67 : 3,955.13 = 1,983.18 : x
  2. Step 2: Convert to fraction form
    2,864.67/3,955.13 = 1,983.18/x
  3. Step 3: Cross multiply
    2,864.67x = 3,955.13 × 1,983.18
  4. Step 4: Simplify right side
    2,864.67x = 7,843,747.07
  5. Step 5: Solve for x
    x = 7,843,747.07/2,864.67
  6. Step 6: Final answer
    x = 2,738.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.