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Finding the Fourth Proportional to 1,947.40, 2,684.62 and 1,200.86

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Solution

The fourth proportional to 1,947.40, 2,684.62 and 1,200.86 is: 1,655.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.40 : 2,684.62 = 1,200.86 : x
  2. Step 2: Convert to fraction form
    1,947.40/2,684.62 = 1,200.86/x
  3. Step 3: Cross multiply
    1,947.40x = 2,684.62 × 1,200.86
  4. Step 4: Simplify right side
    1,947.40x = 3,223,836.35
  5. Step 5: Solve for x
    x = 3,223,836.35/1,947.40
  6. Step 6: Final answer
    x = 1,655.46

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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.