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Finding the Fourth Proportional to 2,188.27, 3,019.81 and 1,256.77

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Solution

The fourth proportional to 2,188.27, 3,019.81 and 1,256.77 is: 1,734.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.27 : 3,019.81 = 1,256.77 : x
  2. Step 2: Convert to fraction form
    2,188.27/3,019.81 = 1,256.77/x
  3. Step 3: Cross multiply
    2,188.27x = 3,019.81 × 1,256.77
  4. Step 4: Simplify right side
    2,188.27x = 3,795,189.08
  5. Step 5: Solve for x
    x = 3,795,189.08/2,188.27
  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.