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Finding the Fourth Proportional to 2,124.27, 3,188.27 and 1,137.89

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Solution

The fourth proportional to 2,124.27, 3,188.27 and 1,137.89 is: 1,707.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.27 : 3,188.27 = 1,137.89 : x
  2. Step 2: Convert to fraction form
    2,124.27/3,188.27 = 1,137.89/x
  3. Step 3: Cross multiply
    2,124.27x = 3,188.27 × 1,137.89
  4. Step 4: Simplify right side
    2,124.27x = 3,627,911.37
  5. Step 5: Solve for x
    x = 3,627,911.37/2,124.27
  6. Step 6: Final answer
    x = 1,707.84

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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.