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Finding the Fourth Proportional to 2,464.16, 3,696.23 and 732.78

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Solution

The fourth proportional to 2,464.16, 3,696.23 and 732.78 is: 1,099.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.16 : 3,696.23 = 732.78 : x
  2. Step 2: Convert to fraction form
    2,464.16/3,696.23 = 732.78/x
  3. Step 3: Cross multiply
    2,464.16x = 3,696.23 × 732.78
  4. Step 4: Simplify right side
    2,464.16x = 2,708,525.25
  5. Step 5: Solve for x
    x = 2,708,525.25/2,464.16
  6. Step 6: Final answer
    x = 1,099.17

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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.