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Finding the Fourth Proportional to 2,466.09, 3,699.84 and 823.71

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Solution

The fourth proportional to 2,466.09, 3,699.84 and 823.71 is: 1,235.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.09 : 3,699.84 = 823.71 : x
  2. Step 2: Convert to fraction form
    2,466.09/3,699.84 = 823.71/x
  3. Step 3: Cross multiply
    2,466.09x = 3,699.84 × 823.71
  4. Step 4: Simplify right side
    2,466.09x = 3,047,595.21
  5. Step 5: Solve for x
    x = 3,047,595.21/2,466.09
  6. Step 6: Final answer
    x = 1,235.80

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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.