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Finding the Fourth Proportional to 2,773.63, 4,160.45 and 1,474.80

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Solution

The fourth proportional to 2,773.63, 4,160.45 and 1,474.80 is: 2,212.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.63 : 4,160.45 = 1,474.80 : x
  2. Step 2: Convert to fraction form
    2,773.63/4,160.45 = 1,474.80/x
  3. Step 3: Cross multiply
    2,773.63x = 4,160.45 × 1,474.80
  4. Step 4: Simplify right side
    2,773.63x = 6,135,831.66
  5. Step 5: Solve for x
    x = 6,135,831.66/2,773.63
  6. Step 6: Final answer
    x = 2,212.20

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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.