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Finding the Fourth Proportional to 3,101.27, 4,651.81 and 761.28

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Solution

The fourth proportional to 3,101.27, 4,651.81 and 761.28 is: 1,141.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.27 : 4,651.81 = 761.28 : x
  2. Step 2: Convert to fraction form
    3,101.27/4,651.81 = 761.28/x
  3. Step 3: Cross multiply
    3,101.27x = 4,651.81 × 761.28
  4. Step 4: Simplify right side
    3,101.27x = 3,541,326.11
  5. Step 5: Solve for x
    x = 3,541,326.11/3,101.27
  6. Step 6: Final answer
    x = 1,141.90

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1.5x scale

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.