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Finding the Fourth Proportional to 2,124.87, 3,188.52 and 892.17

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Solution

The fourth proportional to 2,124.87, 3,188.52 and 892.17 is: 1,338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.87 : 3,188.52 = 892.17 : x
  2. Step 2: Convert to fraction form
    2,124.87/3,188.52 = 892.17/x
  3. Step 3: Cross multiply
    2,124.87x = 3,188.52 × 892.17
  4. Step 4: Simplify right side
    2,124.87x = 2,844,701.89
  5. Step 5: Solve for x
    x = 2,844,701.89/2,124.87
  6. Step 6: Final answer
    x = 1,338.77

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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.