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Finding the Fourth Proportional to 2,297.13, 3,168.63 and 2,003.10

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Solution

The fourth proportional to 2,297.13, 3,168.63 and 2,003.10 is: 2,763.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.13 : 3,168.63 = 2,003.10 : x
  2. Step 2: Convert to fraction form
    2,297.13/3,168.63 = 2,003.10/x
  3. Step 3: Cross multiply
    2,297.13x = 3,168.63 × 2,003.10
  4. Step 4: Simplify right side
    2,297.13x = 6,347,082.75
  5. Step 5: Solve for x
    x = 6,347,082.75/2,297.13
  6. Step 6: Final answer
    x = 2,763.05

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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.