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Finding the Fourth Proportional to 2,088.97, 3,133.44 and 856.38

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Solution

The fourth proportional to 2,088.97, 3,133.44 and 856.38 is: 1,284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.97 : 3,133.44 = 856.38 : x
  2. Step 2: Convert to fraction form
    2,088.97/3,133.44 = 856.38/x
  3. Step 3: Cross multiply
    2,088.97x = 3,133.44 × 856.38
  4. Step 4: Simplify right side
    2,088.97x = 2,683,399.68
  5. Step 5: Solve for x
    x = 2,683,399.68/2,088.97
  6. Step 6: Final answer
    x = 1,284.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.