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Finding the Fourth Proportional to 2,516.67, 3,772.00 and 872.30

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Solution

The fourth proportional to 2,516.67, 3,772.00 and 872.30 is: 1,307.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.67 : 3,772.00 = 872.30 : x
  2. Step 2: Convert to fraction form
    2,516.67/3,772.00 = 872.30/x
  3. Step 3: Cross multiply
    2,516.67x = 3,772.00 × 872.30
  4. Step 4: Simplify right side
    2,516.67x = 3,290,326.12
  5. Step 5: Solve for x
    x = 3,290,326.12/2,516.67
  6. Step 6: Final answer
    x = 1,307.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.