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Finding the Fourth Proportional to 2,034.78, 2,807.98 and 1,103.28

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Solution

The fourth proportional to 2,034.78, 2,807.98 and 1,103.28 is: 1,522.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.78 : 2,807.98 = 1,103.28 : x
  2. Step 2: Convert to fraction form
    2,034.78/2,807.98 = 1,103.28/x
  3. Step 3: Cross multiply
    2,034.78x = 2,807.98 × 1,103.28
  4. Step 4: Simplify right side
    2,034.78x = 3,097,988.17
  5. Step 5: Solve for x
    x = 3,097,988.17/2,034.78
  6. Step 6: Final answer
    x = 1,522.52

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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.