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Finding the Fourth Proportional to 2,464.98, 3,693.80 and 2,282.72

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Solution

The fourth proportional to 2,464.98, 3,693.80 and 2,282.72 is: 3,420.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.98 : 3,693.80 = 2,282.72 : x
  2. Step 2: Convert to fraction form
    2,464.98/3,693.80 = 2,282.72/x
  3. Step 3: Cross multiply
    2,464.98x = 3,693.80 × 2,282.72
  4. Step 4: Simplify right side
    2,464.98x = 8,431,911.14
  5. Step 5: Solve for x
    x = 8,431,911.14/2,464.98
  6. Step 6: Final answer
    x = 3,420.68

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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.