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Finding the Fourth Proportional to 1,800.27, 2,700.06 and 759.93

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Solution

The fourth proportional to 1,800.27, 2,700.06 and 759.93 is: 1,139.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.27 : 2,700.06 = 759.93 : x
  2. Step 2: Convert to fraction form
    1,800.27/2,700.06 = 759.93/x
  3. Step 3: Cross multiply
    1,800.27x = 2,700.06 × 759.93
  4. Step 4: Simplify right side
    1,800.27x = 2,051,856.60
  5. Step 5: Solve for x
    x = 2,051,856.60/1,800.27
  6. Step 6: Final answer
    x = 1,139.75

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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.