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Finding the Fourth Proportional to 1,452.98, 2,003.46 and 1,103.06

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Solution

The fourth proportional to 1,452.98, 2,003.46 and 1,103.06 is: 1,520.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.98 : 2,003.46 = 1,103.06 : x
  2. Step 2: Convert to fraction form
    1,452.98/2,003.46 = 1,103.06/x
  3. Step 3: Cross multiply
    1,452.98x = 2,003.46 × 1,103.06
  4. Step 4: Simplify right side
    1,452.98x = 2,209,936.59
  5. Step 5: Solve for x
    x = 2,209,936.59/1,452.98
  6. Step 6: Final answer
    x = 1,520.97

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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.