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Finding the Fourth Proportional to 2,034.75, 2,807.96 and 1,103.25

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Solution

The fourth proportional to 2,034.75, 2,807.96 and 1,103.25 is: 1,522.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.75 : 2,807.96 = 1,103.25 : x
  2. Step 2: Convert to fraction form
    2,034.75/2,807.96 = 1,103.25/x
  3. Step 3: Cross multiply
    2,034.75x = 2,807.96 × 1,103.25
  4. Step 4: Simplify right side
    2,034.75x = 3,097,881.87
  5. Step 5: Solve for x
    x = 3,097,881.87/2,034.75
  6. Step 6: Final answer
    x = 1,522.49

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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.