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Finding the Fourth Proportional to 3,228.70, 4,455.48 and 1,831.42

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Solution

The fourth proportional to 3,228.70, 4,455.48 and 1,831.42 is: 2,527.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.70 : 4,455.48 = 1,831.42 : x
  2. Step 2: Convert to fraction form
    3,228.70/4,455.48 = 1,831.42/x
  3. Step 3: Cross multiply
    3,228.70x = 4,455.48 × 1,831.42
  4. Step 4: Simplify right side
    3,228.70x = 8,159,855.18
  5. Step 5: Solve for x
    x = 8,159,855.18/3,228.70
  6. Step 6: Final answer
    x = 2,527.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.