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Finding the Fourth Proportional to 3,023.55, 4,534.79 and 831.80

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Solution

The fourth proportional to 3,023.55, 4,534.79 and 831.80 is: 1,247.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.55 : 4,534.79 = 831.80 : x
  2. Step 2: Convert to fraction form
    3,023.55/4,534.79 = 831.80/x
  3. Step 3: Cross multiply
    3,023.55x = 4,534.79 × 831.80
  4. Step 4: Simplify right side
    3,023.55x = 3,772,045.50
  5. Step 5: Solve for x
    x = 3,772,045.50/3,023.55
  6. Step 6: Final answer
    x = 1,247.56

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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.