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Finding the Fourth Proportional to 2,111.24, 3,168.12 and 940.88

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Solution

The fourth proportional to 2,111.24, 3,168.12 and 940.88 is: 1,411.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.24 : 3,168.12 = 940.88 : x
  2. Step 2: Convert to fraction form
    2,111.24/3,168.12 = 940.88/x
  3. Step 3: Cross multiply
    2,111.24x = 3,168.12 × 940.88
  4. Step 4: Simplify right side
    2,111.24x = 2,980,820.75
  5. Step 5: Solve for x
    x = 2,980,820.75/2,111.24
  6. Step 6: Final answer
    x = 1,411.88

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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.