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Finding the Fourth Proportional to 2,720.50, 3,754.30 and 1,478.50

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Solution

The fourth proportional to 2,720.50, 3,754.30 and 1,478.50 is: 2,040.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.50 : 3,754.30 = 1,478.50 : x
  2. Step 2: Convert to fraction form
    2,720.50/3,754.30 = 1,478.50/x
  3. Step 3: Cross multiply
    2,720.50x = 3,754.30 × 1,478.50
  4. Step 4: Simplify right side
    2,720.50x = 5,550,732.55
  5. Step 5: Solve for x
    x = 5,550,732.55/2,720.50
  6. Step 6: Final answer
    x = 2,040.34

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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.