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Finding the Fourth Proportional to 2,242.97, 3,365.85 and 856.43

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Solution

The fourth proportional to 2,242.97, 3,365.85 and 856.43 is: 1,285.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.97 : 3,365.85 = 856.43 : x
  2. Step 2: Convert to fraction form
    2,242.97/3,365.85 = 856.43/x
  3. Step 3: Cross multiply
    2,242.97x = 3,365.85 × 856.43
  4. Step 4: Simplify right side
    2,242.97x = 2,882,598.09
  5. Step 5: Solve for x
    x = 2,882,598.09/2,242.97
  6. Step 6: Final answer
    x = 1,285.17

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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.