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Finding the Fourth Proportional to 2,188.39, 3,019.85 and 1,256.89

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Solution

The fourth proportional to 2,188.39, 3,019.85 and 1,256.89 is: 1,734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.39 : 3,019.85 = 1,256.89 : x
  2. Step 2: Convert to fraction form
    2,188.39/3,019.85 = 1,256.89/x
  3. Step 3: Cross multiply
    2,188.39x = 3,019.85 × 1,256.89
  4. Step 4: Simplify right side
    2,188.39x = 3,795,604.17
  5. Step 5: Solve for x
    x = 3,795,604.17/2,188.39
  6. Step 6: Final answer
    x = 1,734.43

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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.