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Finding the Fourth Proportional to 2,098.77, 3,148.56 and 1,003.23

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Solution

The fourth proportional to 2,098.77, 3,148.56 and 1,003.23 is: 1,505.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.77 : 3,148.56 = 1,003.23 : x
  2. Step 2: Convert to fraction form
    2,098.77/3,148.56 = 1,003.23/x
  3. Step 3: Cross multiply
    2,098.77x = 3,148.56 × 1,003.23
  4. Step 4: Simplify right side
    2,098.77x = 3,158,729.85
  5. Step 5: Solve for x
    x = 3,158,729.85/2,098.77
  6. Step 6: Final answer
    x = 1,505.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.