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Finding the Fourth Proportional to 1,724.57, 2,380.79 and 1,061.81

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Solution

The fourth proportional to 1,724.57, 2,380.79 and 1,061.81 is: 1,465.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.57 : 2,380.79 = 1,061.81 : x
  2. Step 2: Convert to fraction form
    1,724.57/2,380.79 = 1,061.81/x
  3. Step 3: Cross multiply
    1,724.57x = 2,380.79 × 1,061.81
  4. Step 4: Simplify right side
    1,724.57x = 2,527,946.31
  5. Step 5: Solve for x
    x = 2,527,946.31/1,724.57
  6. Step 6: Final answer
    x = 1,465.84

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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.