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Finding the Fourth Proportional to 2,740.88, 4,111.34 and 688.88

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Solution

The fourth proportional to 2,740.88, 4,111.34 and 688.88 is: 1,033.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.88 : 4,111.34 = 688.88 : x
  2. Step 2: Convert to fraction form
    2,740.88/4,111.34 = 688.88/x
  3. Step 3: Cross multiply
    2,740.88x = 4,111.34 × 688.88
  4. Step 4: Simplify right side
    2,740.88x = 2,832,219.90
  5. Step 5: Solve for x
    x = 2,832,219.90/2,740.88
  6. Step 6: Final answer
    x = 1,033.33

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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.