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Finding the Fourth Proportional to 1,680.79, 2,318.96 and 1,017.43

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Solution

The fourth proportional to 1,680.79, 2,318.96 and 1,017.43 is: 1,403.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.79 : 2,318.96 = 1,017.43 : x
  2. Step 2: Convert to fraction form
    1,680.79/2,318.96 = 1,017.43/x
  3. Step 3: Cross multiply
    1,680.79x = 2,318.96 × 1,017.43
  4. Step 4: Simplify right side
    1,680.79x = 2,359,374.39
  5. Step 5: Solve for x
    x = 2,359,374.39/1,680.79
  6. Step 6: Final answer
    x = 1,403.73

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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.