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Finding the Fourth Proportional to 2,403.98, 3,601.16 and 1,103.66

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Solution

The fourth proportional to 2,403.98, 3,601.16 and 1,103.66 is: 1,653.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.98 : 3,601.16 = 1,103.66 : x
  2. Step 2: Convert to fraction form
    2,403.98/3,601.16 = 1,103.66/x
  3. Step 3: Cross multiply
    2,403.98x = 3,601.16 × 1,103.66
  4. Step 4: Simplify right side
    2,403.98x = 3,974,456.25
  5. Step 5: Solve for x
    x = 3,974,456.25/2,403.98
  6. Step 6: Final answer
    x = 1,653.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.