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Finding the Fourth Proportional to 2,827.73, 4,242.03 and 1,366.98

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Solution

The fourth proportional to 2,827.73, 4,242.03 and 1,366.98 is: 2,050.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.73 : 4,242.03 = 1,366.98 : x
  2. Step 2: Convert to fraction form
    2,827.73/4,242.03 = 1,366.98/x
  3. Step 3: Cross multiply
    2,827.73x = 4,242.03 × 1,366.98
  4. Step 4: Simplify right side
    2,827.73x = 5,798,770.17
  5. Step 5: Solve for x
    x = 5,798,770.17/2,827.73
  6. Step 6: Final answer
    x = 2,050.68

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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.