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Finding the Fourth Proportional to 2,270.93, 3,408.21 and 1,175.60

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Solution

The fourth proportional to 2,270.93, 3,408.21 and 1,175.60 is: 1,764.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.93 : 3,408.21 = 1,175.60 : x
  2. Step 2: Convert to fraction form
    2,270.93/3,408.21 = 1,175.60/x
  3. Step 3: Cross multiply
    2,270.93x = 3,408.21 × 1,175.60
  4. Step 4: Simplify right side
    2,270.93x = 4,006,700.20
  5. Step 5: Solve for x
    x = 4,006,700.20/2,270.93
  6. Step 6: Final answer
    x = 1,764.35

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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.