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Finding the Fourth Proportional to 3,338.34, 4,610.54 and 2,224

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Solution

The fourth proportional to 3,338.34, 4,610.54 and 2,224 is: 3,071.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,338.34 : 4,610.54 = 2,224 : x
  2. Step 2: Convert to fraction form
    3,338.34/4,610.54 = 2,224/x
  3. Step 3: Cross multiply
    3,338.34x = 4,610.54 × 2,224
  4. Step 4: Simplify right side
    3,338.34x = 10,253,840.96
  5. Step 5: Solve for x
    x = 10,253,840.96/3,338.34
  6. Step 6: Final answer
    x = 3,071.54

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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.