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Finding the Fourth Proportional to 2,890, 4,319.09 and 2,111.62

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Solution

The fourth proportional to 2,890, 4,319.09 and 2,111.62 is: 3,155.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890 : 4,319.09 = 2,111.62 : x
  2. Step 2: Convert to fraction form
    2,890/4,319.09 = 2,111.62/x
  3. Step 3: Cross multiply
    2,890x = 4,319.09 × 2,111.62
  4. Step 4: Simplify right side
    2,890x = 9,120,276.83
  5. Step 5: Solve for x
    x = 9,120,276.83/2,890
  6. Step 6: Final answer
    x = 3,155.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.