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Finding the Fourth Proportional to 2,455.88, 3,678.43 and 2,263.84

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Solution

The fourth proportional to 2,455.88, 3,678.43 and 2,263.84 is: 3,390.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.88 : 3,678.43 = 2,263.84 : x
  2. Step 2: Convert to fraction form
    2,455.88/3,678.43 = 2,263.84/x
  3. Step 3: Cross multiply
    2,455.88x = 3,678.43 × 2,263.84
  4. Step 4: Simplify right side
    2,455.88x = 8,327,376.97
  5. Step 5: Solve for x
    x = 8,327,376.97/2,455.88
  6. Step 6: Final answer
    x = 3,390.79

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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.