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Finding the Fourth Proportional to 2,393.20, 3,582.60 and 2,105.20

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Solution

The fourth proportional to 2,393.20, 3,582.60 and 2,105.20 is: 3,151.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.20 : 3,582.60 = 2,105.20 : x
  2. Step 2: Convert to fraction form
    2,393.20/3,582.60 = 2,105.20/x
  3. Step 3: Cross multiply
    2,393.20x = 3,582.60 × 2,105.20
  4. Step 4: Simplify right side
    2,393.20x = 7,542,089.52
  5. Step 5: Solve for x
    x = 7,542,089.52/2,393.20
  6. Step 6: Final answer
    x = 3,151.47

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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.