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Finding the Fourth Proportional to 2,466.78, 3,700.20 and 823.32

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Solution

The fourth proportional to 2,466.78, 3,700.20 and 823.32 is: 1,234.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.78 : 3,700.20 = 823.32 : x
  2. Step 2: Convert to fraction form
    2,466.78/3,700.20 = 823.32/x
  3. Step 3: Cross multiply
    2,466.78x = 3,700.20 × 823.32
  4. Step 4: Simplify right side
    2,466.78x = 3,046,455.21
  5. Step 5: Solve for x
    x = 3,046,455.21/2,466.78
  6. Step 6: Final answer
    x = 1,234.99

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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.