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Finding the Fourth Proportional to 2,113.41, 3,170.10 and 880.80

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Solution

The fourth proportional to 2,113.41, 3,170.10 and 880.80 is: 1,321.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.41 : 3,170.10 = 880.80 : x
  2. Step 2: Convert to fraction form
    2,113.41/3,170.10 = 880.80/x
  3. Step 3: Cross multiply
    2,113.41x = 3,170.10 × 880.80
  4. Step 4: Simplify right side
    2,113.41x = 2,792,224.08
  5. Step 5: Solve for x
    x = 2,792,224.08/2,113.41
  6. Step 6: Final answer
    x = 1,321.19

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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.