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Finding the Fourth Proportional to 2,278.03, 3,404.56 and 1,663.03

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Solution

The fourth proportional to 2,278.03, 3,404.56 and 1,663.03 is: 2,485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.03 : 3,404.56 = 1,663.03 : x
  2. Step 2: Convert to fraction form
    2,278.03/3,404.56 = 1,663.03/x
  3. Step 3: Cross multiply
    2,278.03x = 3,404.56 × 1,663.03
  4. Step 4: Simplify right side
    2,278.03x = 5,661,876.91
  5. Step 5: Solve for x
    x = 5,661,876.91/2,278.03
  6. Step 6: Final answer
    x = 2,485.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.