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Finding the Fourth Proportional to 3,113.73, 4,297.53 and 1,769.34

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Solution

The fourth proportional to 3,113.73, 4,297.53 and 1,769.34 is: 2,442.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.73 : 4,297.53 = 1,769.34 : x
  2. Step 2: Convert to fraction form
    3,113.73/4,297.53 = 1,769.34/x
  3. Step 3: Cross multiply
    3,113.73x = 4,297.53 × 1,769.34
  4. Step 4: Simplify right side
    3,113.73x = 7,603,761.40
  5. Step 5: Solve for x
    x = 7,603,761.40/3,113.73
  6. Step 6: Final answer
    x = 2,442.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.