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Finding the Fourth Proportional to 1,799.92, 2,700.26 and 759.93

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Solution

The fourth proportional to 1,799.92, 2,700.26 and 759.93 is: 1,140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.92 : 2,700.26 = 759.93 : x
  2. Step 2: Convert to fraction form
    1,799.92/2,700.26 = 759.93/x
  3. Step 3: Cross multiply
    1,799.92x = 2,700.26 × 759.93
  4. Step 4: Simplify right side
    1,799.92x = 2,051,997.51
  5. Step 5: Solve for x
    x = 2,051,997.51/1,799.92
  6. Step 6: Final answer
    x = 1,140.05

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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.