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Finding the Fourth Proportional to 2,947.86, 4,068.14 and 1,689.32

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Solution

The fourth proportional to 2,947.86, 4,068.14 and 1,689.32 is: 2,331.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.86 : 4,068.14 = 1,689.32 : x
  2. Step 2: Convert to fraction form
    2,947.86/4,068.14 = 1,689.32/x
  3. Step 3: Cross multiply
    2,947.86x = 4,068.14 × 1,689.32
  4. Step 4: Simplify right side
    2,947.86x = 6,872,361.48
  5. Step 5: Solve for x
    x = 6,872,361.48/2,947.86
  6. Step 6: Final answer
    x = 2,331.31

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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.