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Finding the Fourth Proportional to 2,416.80, 3,600.24 and 2,359.20

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Solution

The fourth proportional to 2,416.80, 3,600.24 and 2,359.20 is: 3,514.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.80 : 3,600.24 = 2,359.20 : x
  2. Step 2: Convert to fraction form
    2,416.80/3,600.24 = 2,359.20/x
  3. Step 3: Cross multiply
    2,416.80x = 3,600.24 × 2,359.20
  4. Step 4: Simplify right side
    2,416.80x = 8,493,686.21
  5. Step 5: Solve for x
    x = 8,493,686.21/2,416.80
  6. Step 6: Final answer
    x = 3,514.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.