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Finding the Fourth Proportional to 2,111.90, 3,168.99 and 880.16

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Solution

The fourth proportional to 2,111.90, 3,168.99 and 880.16 is: 1,320.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.90 : 3,168.99 = 880.16 : x
  2. Step 2: Convert to fraction form
    2,111.90/3,168.99 = 880.16/x
  3. Step 3: Cross multiply
    2,111.90x = 3,168.99 × 880.16
  4. Step 4: Simplify right side
    2,111.90x = 2,789,218.24
  5. Step 5: Solve for x
    x = 2,789,218.24/2,111.90
  6. Step 6: Final answer
    x = 1,320.72

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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.