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Finding the Fourth Proportional to 2,516.82, 3,775.64 and 761.63

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Solution

The fourth proportional to 2,516.82, 3,775.64 and 761.63 is: 1,142.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.82 : 3,775.64 = 761.63 : x
  2. Step 2: Convert to fraction form
    2,516.82/3,775.64 = 761.63/x
  3. Step 3: Cross multiply
    2,516.82x = 3,775.64 × 761.63
  4. Step 4: Simplify right side
    2,516.82x = 2,875,618.01
  5. Step 5: Solve for x
    x = 2,875,618.01/2,516.82
  6. Step 6: Final answer
    x = 1,142.56

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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.