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Finding the Fourth Proportional to 3,216.90, 4,825.71 and 1,024.86

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Solution

The fourth proportional to 3,216.90, 4,825.71 and 1,024.86 is: 1,537.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.90 : 4,825.71 = 1,024.86 : x
  2. Step 2: Convert to fraction form
    3,216.90/4,825.71 = 1,024.86/x
  3. Step 3: Cross multiply
    3,216.90x = 4,825.71 × 1,024.86
  4. Step 4: Simplify right side
    3,216.90x = 4,945,677.15
  5. Step 5: Solve for x
    x = 4,945,677.15/3,216.90
  6. Step 6: Final answer
    x = 1,537.40

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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.