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Finding the Fourth Proportional to 2,277.52, 3,420.83 and 1,400.29

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Solution

The fourth proportional to 2,277.52, 3,420.83 and 1,400.29 is: 2,103.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.52 : 3,420.83 = 1,400.29 : x
  2. Step 2: Convert to fraction form
    2,277.52/3,420.83 = 1,400.29/x
  3. Step 3: Cross multiply
    2,277.52x = 3,420.83 × 1,400.29
  4. Step 4: Simplify right side
    2,277.52x = 4,790,148.99
  5. Step 5: Solve for x
    x = 4,790,148.99/2,277.52
  6. Step 6: Final answer
    x = 2,103.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.