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Finding the Fourth Proportional to 2,564.33, 3,850.82 and 2,432.81

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Solution

The fourth proportional to 2,564.33, 3,850.82 and 2,432.81 is: 3,653.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.33 : 3,850.82 = 2,432.81 : x
  2. Step 2: Convert to fraction form
    2,564.33/3,850.82 = 2,432.81/x
  3. Step 3: Cross multiply
    2,564.33x = 3,850.82 × 2,432.81
  4. Step 4: Simplify right side
    2,564.33x = 9,368,329.11
  5. Step 5: Solve for x
    x = 9,368,329.11/2,564.33
  6. Step 6: Final answer
    x = 3,653.32

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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.