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Finding the Fourth Proportional to 3,137.90, 4,329.79 and 1,811.41

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Solution

The fourth proportional to 3,137.90, 4,329.79 and 1,811.41 is: 2,499.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.90 : 4,329.79 = 1,811.41 : x
  2. Step 2: Convert to fraction form
    3,137.90/4,329.79 = 1,811.41/x
  3. Step 3: Cross multiply
    3,137.90x = 4,329.79 × 1,811.41
  4. Step 4: Simplify right side
    3,137.90x = 7,843,009.55
  5. Step 5: Solve for x
    x = 7,843,009.55/3,137.90
  6. Step 6: Final answer
    x = 2,499.45

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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.