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Finding the Fourth Proportional to 1,947.86, 2,688.87 and 1,283.57

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Solution

The fourth proportional to 1,947.86, 2,688.87 and 1,283.57 is: 1,771.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.86 : 2,688.87 = 1,283.57 : x
  2. Step 2: Convert to fraction form
    1,947.86/2,688.87 = 1,283.57/x
  3. Step 3: Cross multiply
    1,947.86x = 2,688.87 × 1,283.57
  4. Step 4: Simplify right side
    1,947.86x = 3,451,352.87
  5. Step 5: Solve for x
    x = 3,451,352.87/1,947.86
  6. Step 6: Final answer
    x = 1,771.87

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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.