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Finding the Fourth Proportional to 2,827.76, 3,902.70 and 1,649.48

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Solution

The fourth proportional to 2,827.76, 3,902.70 and 1,649.48 is: 2,276.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.76 : 3,902.70 = 1,649.48 : x
  2. Step 2: Convert to fraction form
    2,827.76/3,902.70 = 1,649.48/x
  3. Step 3: Cross multiply
    2,827.76x = 3,902.70 × 1,649.48
  4. Step 4: Simplify right side
    2,827.76x = 6,437,425.60
  5. Step 5: Solve for x
    x = 6,437,425.60/2,827.76
  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.