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Finding the Fourth Proportional to 1,808.28, 2,724.30 and 1,641.66

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Solution

The fourth proportional to 1,808.28, 2,724.30 and 1,641.66 is: 2,473.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.28 : 2,724.30 = 1,641.66 : x
  2. Step 2: Convert to fraction form
    1,808.28/2,724.30 = 1,641.66/x
  3. Step 3: Cross multiply
    1,808.28x = 2,724.30 × 1,641.66
  4. Step 4: Simplify right side
    1,808.28x = 4,472,374.34
  5. Step 5: Solve for x
    x = 4,472,374.34/1,808.28
  6. Step 6: Final answer
    x = 2,473.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.