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Finding the Fourth Proportional to 3,200.78, 4,418.45 and 2,153.45

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Solution

The fourth proportional to 3,200.78, 4,418.45 and 2,153.45 is: 2,972.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.78 : 4,418.45 = 2,153.45 : x
  2. Step 2: Convert to fraction form
    3,200.78/4,418.45 = 2,153.45/x
  3. Step 3: Cross multiply
    3,200.78x = 4,418.45 × 2,153.45
  4. Step 4: Simplify right side
    3,200.78x = 9,514,911.15
  5. Step 5: Solve for x
    x = 9,514,911.15/3,200.78
  6. Step 6: Final answer
    x = 2,972.69

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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.