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Finding the Fourth Proportional to 1,871.44, 2,806.96 and 831.46

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Solution

The fourth proportional to 1,871.44, 2,806.96 and 831.46 is: 1,247.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.44 : 2,806.96 = 831.46 : x
  2. Step 2: Convert to fraction form
    1,871.44/2,806.96 = 831.46/x
  3. Step 3: Cross multiply
    1,871.44x = 2,806.96 × 831.46
  4. Step 4: Simplify right side
    1,871.44x = 2,333,874.96
  5. Step 5: Solve for x
    x = 2,333,874.96/1,871.44
  6. Step 6: Final answer
    x = 1,247.10

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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.