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Finding the Fourth Proportional to 2,466.51, 3,700.00 and 823.17

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Solution

The fourth proportional to 2,466.51, 3,700.00 and 823.17 is: 1,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.51 : 3,700.00 = 823.17 : x
  2. Step 2: Convert to fraction form
    2,466.51/3,700.00 = 823.17/x
  3. Step 3: Cross multiply
    2,466.51x = 3,700.00 × 823.17
  4. Step 4: Simplify right side
    2,466.51x = 3,045,718.46
  5. Step 5: Solve for x
    x = 3,045,718.46/2,466.51
  6. Step 6: Final answer
    x = 1,234.83

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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.