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Finding the Fourth Proportional to 2,285.09, 3,427.34 and 641.76

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Solution

The fourth proportional to 2,285.09, 3,427.34 and 641.76 is: 962.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.09 : 3,427.34 = 641.76 : x
  2. Step 2: Convert to fraction form
    2,285.09/3,427.34 = 641.76/x
  3. Step 3: Cross multiply
    2,285.09x = 3,427.34 × 641.76
  4. Step 4: Simplify right side
    2,285.09x = 2,199,529.72
  5. Step 5: Solve for x
    x = 2,199,529.72/2,285.09
  6. Step 6: Final answer
    x = 962.56

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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.