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Finding the Fourth Proportional to 1,806.53, 2,708.78 and 831.42

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Solution

The fourth proportional to 1,806.53, 2,708.78 and 831.42 is: 1,246.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.53 : 2,708.78 = 831.42 : x
  2. Step 2: Convert to fraction form
    1,806.53/2,708.78 = 831.42/x
  3. Step 3: Cross multiply
    1,806.53x = 2,708.78 × 831.42
  4. Step 4: Simplify right side
    1,806.53x = 2,252,129.71
  5. Step 5: Solve for x
    x = 2,252,129.71/1,806.53
  6. Step 6: Final answer
    x = 1,246.66

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Why These Related Problems?

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