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Finding the Fourth Proportional to 2,549.86, 3,824.79 and 2,053.94

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Solution

The fourth proportional to 2,549.86, 3,824.79 and 2,053.94 is: 3,080.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.86 : 3,824.79 = 2,053.94 : x
  2. Step 2: Convert to fraction form
    2,549.86/3,824.79 = 2,053.94/x
  3. Step 3: Cross multiply
    2,549.86x = 3,824.79 × 2,053.94
  4. Step 4: Simplify right side
    2,549.86x = 7,855,889.17
  5. Step 5: Solve for x
    x = 7,855,889.17/2,549.86
  6. Step 6: Final answer
    x = 3,080.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.