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Finding the Fourth Proportional to 2,932.92, 4,047.44 and 1,754.01

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Solution

The fourth proportional to 2,932.92, 4,047.44 and 1,754.01 is: 2,420.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.92 : 4,047.44 = 1,754.01 : x
  2. Step 2: Convert to fraction form
    2,932.92/4,047.44 = 1,754.01/x
  3. Step 3: Cross multiply
    2,932.92x = 4,047.44 × 1,754.01
  4. Step 4: Simplify right side
    2,932.92x = 7,099,241.46
  5. Step 5: Solve for x
    x = 7,099,241.46/2,932.92
  6. Step 6: Final answer
    x = 2,420.54

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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.