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Finding the Fourth Proportional to 2,552.94, 3,520.46 and 2,404.12

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Solution

The fourth proportional to 2,552.94, 3,520.46 and 2,404.12 is: 3,315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.94 : 3,520.46 = 2,404.12 : x
  2. Step 2: Convert to fraction form
    2,552.94/3,520.46 = 2,404.12/x
  3. Step 3: Cross multiply
    2,552.94x = 3,520.46 × 2,404.12
  4. Step 4: Simplify right side
    2,552.94x = 8,463,608.30
  5. Step 5: Solve for x
    x = 8,463,608.30/2,552.94
  6. Step 6: Final answer
    x = 3,315.24

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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.