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Finding the Fourth Proportional to 3,427.52, 4,730.00 and 2,030.27

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Solution

The fourth proportional to 3,427.52, 4,730.00 and 2,030.27 is: 2,801.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.52 : 4,730.00 = 2,030.27 : x
  2. Step 2: Convert to fraction form
    3,427.52/4,730.00 = 2,030.27/x
  3. Step 3: Cross multiply
    3,427.52x = 4,730.00 × 2,030.27
  4. Step 4: Simplify right side
    3,427.52x = 9,603,143.30
  5. Step 5: Solve for x
    x = 9,603,143.30/3,427.52
  6. Step 6: Final answer
    x = 2,801.78

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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.