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Finding the Fourth Proportional to 2,552.61, 3,803.24 and 2,384.94

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Solution

The fourth proportional to 2,552.61, 3,803.24 and 2,384.94 is: 3,553.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.61 : 3,803.24 = 2,384.94 : x
  2. Step 2: Convert to fraction form
    2,552.61/3,803.24 = 2,384.94/x
  3. Step 3: Cross multiply
    2,552.61x = 3,803.24 × 2,384.94
  4. Step 4: Simplify right side
    2,552.61x = 9,070,499.21
  5. Step 5: Solve for x
    x = 9,070,499.21/2,552.61
  6. Step 6: Final answer
    x = 3,553.42

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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.