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Finding the Fourth Proportional to 2,754.72, 4,133.04 and 1,023.60

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Solution

The fourth proportional to 2,754.72, 4,133.04 and 1,023.60 is: 1,535.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.72 : 4,133.04 = 1,023.60 : x
  2. Step 2: Convert to fraction form
    2,754.72/4,133.04 = 1,023.60/x
  3. Step 3: Cross multiply
    2,754.72x = 4,133.04 × 1,023.60
  4. Step 4: Simplify right side
    2,754.72x = 4,230,579.74
  5. Step 5: Solve for x
    x = 4,230,579.74/2,754.72
  6. Step 6: Final answer
    x = 1,535.76

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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.