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Finding the Fourth Proportional to 1,498.37, 2,067.72 and 835.22

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Solution

The fourth proportional to 1,498.37, 2,067.72 and 835.22 is: 1,152.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.37 : 2,067.72 = 835.22 : x
  2. Step 2: Convert to fraction form
    1,498.37/2,067.72 = 835.22/x
  3. Step 3: Cross multiply
    1,498.37x = 2,067.72 × 835.22
  4. Step 4: Simplify right side
    1,498.37x = 1,726,990.76
  5. Step 5: Solve for x
    x = 1,726,990.76/1,498.37
  6. Step 6: Final answer
    x = 1,152.58

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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.