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Finding the Fourth Proportional to 2,277.02, 3,142.02 and 1,282.24

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Solution

The fourth proportional to 2,277.02, 3,142.02 and 1,282.24 is: 1,769.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.02 : 3,142.02 = 1,282.24 : x
  2. Step 2: Convert to fraction form
    2,277.02/3,142.02 = 1,282.24/x
  3. Step 3: Cross multiply
    2,277.02x = 3,142.02 × 1,282.24
  4. Step 4: Simplify right side
    2,277.02x = 4,028,832.46
  5. Step 5: Solve for x
    x = 4,028,832.46/2,277.02
  6. Step 6: Final answer
    x = 1,769.34

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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.