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Finding the Fourth Proportional to 2,847.96, 4,269.53 and 1,092.02

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Solution

The fourth proportional to 2,847.96, 4,269.53 and 1,092.02 is: 1,637.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.96 : 4,269.53 = 1,092.02 : x
  2. Step 2: Convert to fraction form
    2,847.96/4,269.53 = 1,092.02/x
  3. Step 3: Cross multiply
    2,847.96x = 4,269.53 × 1,092.02
  4. Step 4: Simplify right side
    2,847.96x = 4,662,393.53
  5. Step 5: Solve for x
    x = 4,662,393.53/2,847.96
  6. Step 6: Final answer
    x = 1,637.10

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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.