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Finding the Fourth Proportional to 2,811.90, 4,216.94 and 1,641.86

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Solution

The fourth proportional to 2,811.90, 4,216.94 and 1,641.86 is: 2,462.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.90 : 4,216.94 = 1,641.86 : x
  2. Step 2: Convert to fraction form
    2,811.90/4,216.94 = 1,641.86/x
  3. Step 3: Cross multiply
    2,811.90x = 4,216.94 × 1,641.86
  4. Step 4: Simplify right side
    2,811.90x = 6,923,625.11
  5. Step 5: Solve for x
    x = 6,923,625.11/2,811.90
  6. Step 6: Final answer
    x = 2,462.26

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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.