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Finding the Fourth Proportional to 2,552.86, 3,803.61 and 2,385.19

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Solution

The fourth proportional to 2,552.86, 3,803.61 and 2,385.19 is: 3,553.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.86 : 3,803.61 = 2,385.19 : x
  2. Step 2: Convert to fraction form
    2,552.86/3,803.61 = 2,385.19/x
  3. Step 3: Cross multiply
    2,552.86x = 3,803.61 × 2,385.19
  4. Step 4: Simplify right side
    2,552.86x = 9,072,323.03
  5. Step 5: Solve for x
    x = 9,072,323.03/2,552.86
  6. Step 6: Final answer
    x = 3,553.79

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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.