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Finding the Fourth Proportional to 3,137.27, 4,329.28 and 1,811.40

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Solution

The fourth proportional to 3,137.27, 4,329.28 and 1,811.40 is: 2,499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.27 : 4,329.28 = 1,811.40 : x
  2. Step 2: Convert to fraction form
    3,137.27/4,329.28 = 1,811.40/x
  3. Step 3: Cross multiply
    3,137.27x = 4,329.28 × 1,811.40
  4. Step 4: Simplify right side
    3,137.27x = 7,842,027.09
  5. Step 5: Solve for x
    x = 7,842,027.09/3,137.27
  6. Step 6: Final answer
    x = 2,499.64

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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.