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Finding the Fourth Proportional to 2,034.61, 2,807.76 and 1,103.11

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Solution

The fourth proportional to 2,034.61, 2,807.76 and 1,103.11 is: 1,522.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.61 : 2,807.76 = 1,103.11 : x
  2. Step 2: Convert to fraction form
    2,034.61/2,807.76 = 1,103.11/x
  3. Step 3: Cross multiply
    2,034.61x = 2,807.76 × 1,103.11
  4. Step 4: Simplify right side
    2,034.61x = 3,097,268.13
  5. Step 5: Solve for x
    x = 3,097,268.13/2,034.61
  6. Step 6: Final answer
    x = 1,522.29

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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.