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Finding the Fourth Proportional to 2,188.28, 3,019.80 and 1,256.78

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Solution

The fourth proportional to 2,188.28, 3,019.80 and 1,256.78 is: 1,734.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.28 : 3,019.80 = 1,256.78 : x
  2. Step 2: Convert to fraction form
    2,188.28/3,019.80 = 1,256.78/x
  3. Step 3: Cross multiply
    2,188.28x = 3,019.80 × 1,256.78
  4. Step 4: Simplify right side
    2,188.28x = 3,795,224.24
  5. Step 5: Solve for x
    x = 3,795,224.24/2,188.28
  6. Step 6: Final answer
    x = 1,734.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.