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Finding the Fourth Proportional to 2,947.70, 4,068.41 and 1,689.60

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Solution

The fourth proportional to 2,947.70, 4,068.41 and 1,689.60 is: 2,331.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.70 : 4,068.41 = 1,689.60 : x
  2. Step 2: Convert to fraction form
    2,947.70/4,068.41 = 1,689.60/x
  3. Step 3: Cross multiply
    2,947.70x = 4,068.41 × 1,689.60
  4. Step 4: Simplify right side
    2,947.70x = 6,873,972.91
  5. Step 5: Solve for x
    x = 6,873,972.91/2,947.70
  6. Step 6: Final answer
    x = 2,331.98

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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.