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Finding the Fourth Proportional to 2,499.78, 3,464.30 and 2,464.55

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Solution

The fourth proportional to 2,499.78, 3,464.30 and 2,464.55 is: 3,415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.78 : 3,464.30 = 2,464.55 : x
  2. Step 2: Convert to fraction form
    2,499.78/3,464.30 = 2,464.55/x
  3. Step 3: Cross multiply
    2,499.78x = 3,464.30 × 2,464.55
  4. Step 4: Simplify right side
    2,499.78x = 8,537,910.92
  5. Step 5: Solve for x
    x = 8,537,910.92/2,499.78
  6. Step 6: Final answer
    x = 3,415.46

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.