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Finding the Fourth Proportional to 1,366.96, 2,047.99 and 831.71

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Solution

The fourth proportional to 1,366.96, 2,047.99 and 831.71 is: 1,246.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.96 : 2,047.99 = 831.71 : x
  2. Step 2: Convert to fraction form
    1,366.96/2,047.99 = 831.71/x
  3. Step 3: Cross multiply
    1,366.96x = 2,047.99 × 831.71
  4. Step 4: Simplify right side
    1,366.96x = 1,703,333.76
  5. Step 5: Solve for x
    x = 1,703,333.76/1,366.96
  6. Step 6: Final answer
    x = 1,246.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.