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Finding the Fourth Proportional to 2,396.30, 3,307.29 and 2,003.18

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Solution

The fourth proportional to 2,396.30, 3,307.29 and 2,003.18 is: 2,764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.30 : 3,307.29 = 2,003.18 : x
  2. Step 2: Convert to fraction form
    2,396.30/3,307.29 = 2,003.18/x
  3. Step 3: Cross multiply
    2,396.30x = 3,307.29 × 2,003.18
  4. Step 4: Simplify right side
    2,396.30x = 6,625,105.45
  5. Step 5: Solve for x
    x = 6,625,105.45/2,396.30
  6. Step 6: Final answer
    x = 2,764.72

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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.