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Finding the Fourth Proportional to 1,498.42, 2,067.81 and 835.26

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Solution

The fourth proportional to 1,498.42, 2,067.81 and 835.26 is: 1,152.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.42 : 2,067.81 = 835.26 : x
  2. Step 2: Convert to fraction form
    1,498.42/2,067.81 = 835.26/x
  3. Step 3: Cross multiply
    1,498.42x = 2,067.81 × 835.26
  4. Step 4: Simplify right side
    1,498.42x = 1,727,158.98
  5. Step 5: Solve for x
    x = 1,727,158.98/1,498.42
  6. Step 6: Final answer
    x = 1,152.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.