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Finding the Fourth Proportional to 1,921.92, 2,643.39 and 1,565.31

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Solution

The fourth proportional to 1,921.92, 2,643.39 and 1,565.31 is: 2,152.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.92 : 2,643.39 = 1,565.31 : x
  2. Step 2: Convert to fraction form
    1,921.92/2,643.39 = 1,565.31/x
  3. Step 3: Cross multiply
    1,921.92x = 2,643.39 × 1,565.31
  4. Step 4: Simplify right side
    1,921.92x = 4,137,724.80
  5. Step 5: Solve for x
    x = 4,137,724.80/1,921.92
  6. Step 6: Final answer
    x = 2,152.91

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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.