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Finding the Fourth Proportional to 2,856.97, 3,943.11 and 1,678.11

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Solution

The fourth proportional to 2,856.97, 3,943.11 and 1,678.11 is: 2,316.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.97 : 3,943.11 = 1,678.11 : x
  2. Step 2: Convert to fraction form
    2,856.97/3,943.11 = 1,678.11/x
  3. Step 3: Cross multiply
    2,856.97x = 3,943.11 × 1,678.11
  4. Step 4: Simplify right side
    2,856.97x = 6,616,952.61
  5. Step 5: Solve for x
    x = 6,616,952.61/2,856.97
  6. Step 6: Final answer
    x = 2,316.07

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1.5x scale

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.