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Finding the Fourth Proportional to 1,871.58, 2,806.20 and 831.54

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Solution

The fourth proportional to 1,871.58, 2,806.20 and 831.54 is: 1,246.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.58 : 2,806.20 = 831.54 : x
  2. Step 2: Convert to fraction form
    1,871.58/2,806.20 = 831.54/x
  3. Step 3: Cross multiply
    1,871.58x = 2,806.20 × 831.54
  4. Step 4: Simplify right side
    1,871.58x = 2,333,467.55
  5. Step 5: Solve for x
    x = 2,333,467.55/1,871.58
  6. Step 6: Final answer
    x = 1,246.79

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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.