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Finding the Fourth Proportional to 2,255.58, 3,379.73 and 1,603.13

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Solution

The fourth proportional to 2,255.58, 3,379.73 and 1,603.13 is: 2,402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.58 : 3,379.73 = 1,603.13 : x
  2. Step 2: Convert to fraction form
    2,255.58/3,379.73 = 1,603.13/x
  3. Step 3: Cross multiply
    2,255.58x = 3,379.73 × 1,603.13
  4. Step 4: Simplify right side
    2,255.58x = 5,418,121.64
  5. Step 5: Solve for x
    x = 5,418,121.64/2,255.58
  6. Step 6: Final answer
    x = 2,402.10

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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.