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Finding the Fourth Proportional to 2,376.57, 3,564.52 and 816.55

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Solution

The fourth proportional to 2,376.57, 3,564.52 and 816.55 is: 1,224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.57 : 3,564.52 = 816.55 : x
  2. Step 2: Convert to fraction form
    2,376.57/3,564.52 = 816.55/x
  3. Step 3: Cross multiply
    2,376.57x = 3,564.52 × 816.55
  4. Step 4: Simplify right side
    2,376.57x = 2,910,608.81
  5. Step 5: Solve for x
    x = 2,910,608.81/2,376.57
  6. Step 6: Final answer
    x = 1,224.71

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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.