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Finding the Fourth Proportional to 2,827.86, 3,903.24 and 1,649.31

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Solution

The fourth proportional to 2,827.86, 3,903.24 and 1,649.31 is: 2,276.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.86 : 3,903.24 = 1,649.31 : x
  2. Step 2: Convert to fraction form
    2,827.86/3,903.24 = 1,649.31/x
  3. Step 3: Cross multiply
    2,827.86x = 3,903.24 × 1,649.31
  4. Step 4: Simplify right side
    2,827.86x = 6,437,652.76
  5. Step 5: Solve for x
    x = 6,437,652.76/2,827.86
  6. Step 6: Final answer
    x = 2,276.51

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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.