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Finding the Fourth Proportional to 2,516.57, 3,777.18 and 1,284.89

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Solution

The fourth proportional to 2,516.57, 3,777.18 and 1,284.89 is: 1,928.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.57 : 3,777.18 = 1,284.89 : x
  2. Step 2: Convert to fraction form
    2,516.57/3,777.18 = 1,284.89/x
  3. Step 3: Cross multiply
    2,516.57x = 3,777.18 × 1,284.89
  4. Step 4: Simplify right side
    2,516.57x = 4,853,260.81
  5. Step 5: Solve for x
    x = 4,853,260.81/2,516.57
  6. Step 6: Final answer
    x = 1,928.52

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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.