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Finding the Fourth Proportional to 2,563.12, 3,845.16 and 831.28

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Solution

The fourth proportional to 2,563.12, 3,845.16 and 831.28 is: 1,247.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.12 : 3,845.16 = 831.28 : x
  2. Step 2: Convert to fraction form
    2,563.12/3,845.16 = 831.28/x
  3. Step 3: Cross multiply
    2,563.12x = 3,845.16 × 831.28
  4. Step 4: Simplify right side
    2,563.12x = 3,196,404.60
  5. Step 5: Solve for x
    x = 3,196,404.60/2,563.12
  6. Step 6: Final answer
    x = 1,247.08

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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.