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Finding the Fourth Proportional to 2,466.56, 3,700 and 823.26

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Solution

The fourth proportional to 2,466.56, 3,700 and 823.26 is: 1,234.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.56 : 3,700 = 823.26 : x
  2. Step 2: Convert to fraction form
    2,466.56/3,700 = 823.26/x
  3. Step 3: Cross multiply
    2,466.56x = 3,700 × 823.26
  4. Step 4: Simplify right side
    2,466.56x = 3,046,062
  5. Step 5: Solve for x
    x = 3,046,062/2,466.56
  6. Step 6: Final answer
    x = 1,234.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.