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Finding the Fourth Proportional to 2,298.33, 3,447.47 and 566.96

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Solution

The fourth proportional to 2,298.33, 3,447.47 and 566.96 is: 850.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.33 : 3,447.47 = 566.96 : x
  2. Step 2: Convert to fraction form
    2,298.33/3,447.47 = 566.96/x
  3. Step 3: Cross multiply
    2,298.33x = 3,447.47 × 566.96
  4. Step 4: Simplify right side
    2,298.33x = 1,954,557.52
  5. Step 5: Solve for x
    x = 1,954,557.52/2,298.33
  6. Step 6: Final answer
    x = 850.43

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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.