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Finding the Fourth Proportional to 1,798.14, 2,697.74 and 758.58

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Solution

The fourth proportional to 1,798.14, 2,697.74 and 758.58 is: 1,138.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.14 : 2,697.74 = 758.58 : x
  2. Step 2: Convert to fraction form
    1,798.14/2,697.74 = 758.58/x
  3. Step 3: Cross multiply
    1,798.14x = 2,697.74 × 758.58
  4. Step 4: Simplify right side
    1,798.14x = 2,046,451.61
  5. Step 5: Solve for x
    x = 2,046,451.61/1,798.14
  6. Step 6: Final answer
    x = 1,138.09

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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.