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Finding the Fourth Proportional to 2,773.99, 3,827.46 and 1,655.27

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Solution

The fourth proportional to 2,773.99, 3,827.46 and 1,655.27 is: 2,283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.99 : 3,827.46 = 1,655.27 : x
  2. Step 2: Convert to fraction form
    2,773.99/3,827.46 = 1,655.27/x
  3. Step 3: Cross multiply
    2,773.99x = 3,827.46 × 1,655.27
  4. Step 4: Simplify right side
    2,773.99x = 6,335,479.71
  5. Step 5: Solve for x
    x = 6,335,479.71/2,773.99
  6. Step 6: Final answer
    x = 2,283.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.