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Finding the Fourth Proportional to 2,516.78, 3,773.28 and 1,283.60

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Solution

The fourth proportional to 2,516.78, 3,773.28 and 1,283.60 is: 1,924.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.78 : 3,773.28 = 1,283.60 : x
  2. Step 2: Convert to fraction form
    2,516.78/3,773.28 = 1,283.60/x
  3. Step 3: Cross multiply
    2,516.78x = 3,773.28 × 1,283.60
  4. Step 4: Simplify right side
    2,516.78x = 4,843,382.21
  5. Step 5: Solve for x
    x = 4,843,382.21/2,516.78
  6. Step 6: Final answer
    x = 1,924.44

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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.