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Finding the Fourth Proportional to 2,398.23, 3,307.77 and 2,361.78

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Solution

The fourth proportional to 2,398.23, 3,307.77 and 2,361.78 is: 3,257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.23 : 3,307.77 = 2,361.78 : x
  2. Step 2: Convert to fraction form
    2,398.23/3,307.77 = 2,361.78/x
  3. Step 3: Cross multiply
    2,398.23x = 3,307.77 × 2,361.78
  4. Step 4: Simplify right side
    2,398.23x = 7,812,225.03
  5. Step 5: Solve for x
    x = 7,812,225.03/2,398.23
  6. Step 6: Final answer
    x = 3,257.50

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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.