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Finding the Fourth Proportional to 3,137.56, 4,329.34 and 1,811.00

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Solution

The fourth proportional to 3,137.56, 4,329.34 and 1,811.00 is: 2,498.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.56 : 4,329.34 = 1,811.00 : x
  2. Step 2: Convert to fraction form
    3,137.56/4,329.34 = 1,811.00/x
  3. Step 3: Cross multiply
    3,137.56x = 4,329.34 × 1,811.00
  4. Step 4: Simplify right side
    3,137.56x = 7,840,441.04
  5. Step 5: Solve for x
    x = 7,840,441.04/3,137.56
  6. Step 6: Final answer
    x = 2,498.90

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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.