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Finding the Fourth Proportional to 2,773.02, 4,168.84 and 1,957.14

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Solution

The fourth proportional to 2,773.02, 4,168.84 and 1,957.14 is: 2,942.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.02 : 4,168.84 = 1,957.14 : x
  2. Step 2: Convert to fraction form
    2,773.02/4,168.84 = 1,957.14/x
  3. Step 3: Cross multiply
    2,773.02x = 4,168.84 × 1,957.14
  4. Step 4: Simplify right side
    2,773.02x = 8,159,003.52
  5. Step 5: Solve for x
    x = 8,159,003.52/2,773.02
  6. Step 6: Final answer
    x = 2,942.28

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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.