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Finding the Fourth Proportional to 2,506.77, 3,760.35 and 775.38

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Solution

The fourth proportional to 2,506.77, 3,760.35 and 775.38 is: 1,163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.77 : 3,760.35 = 775.38 : x
  2. Step 2: Convert to fraction form
    2,506.77/3,760.35 = 775.38/x
  3. Step 3: Cross multiply
    2,506.77x = 3,760.35 × 775.38
  4. Step 4: Simplify right side
    2,506.77x = 2,915,700.18
  5. Step 5: Solve for x
    x = 2,915,700.18/2,506.77
  6. Step 6: Final answer
    x = 1,163.13

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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.