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Finding the Fourth Proportional to 1,784.52, 2,462.28 and 998.42

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Solution

The fourth proportional to 1,784.52, 2,462.28 and 998.42 is: 1,377.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.52 : 2,462.28 = 998.42 : x
  2. Step 2: Convert to fraction form
    1,784.52/2,462.28 = 998.42/x
  3. Step 3: Cross multiply
    1,784.52x = 2,462.28 × 998.42
  4. Step 4: Simplify right side
    1,784.52x = 2,458,377.29
  5. Step 5: Solve for x
    x = 2,458,377.29/1,784.52
  6. Step 6: Final answer
    x = 1,377.61

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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.