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Finding the Fourth Proportional to 2,760.77, 4,142.48 and 1,720.50

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Solution

The fourth proportional to 2,760.77, 4,142.48 and 1,720.50 is: 2,581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.77 : 4,142.48 = 1,720.50 : x
  2. Step 2: Convert to fraction form
    2,760.77/4,142.48 = 1,720.50/x
  3. Step 3: Cross multiply
    2,760.77x = 4,142.48 × 1,720.50
  4. Step 4: Simplify right side
    2,760.77x = 7,127,128.24
  5. Step 5: Solve for x
    x = 7,127,128.24/2,760.77
  6. Step 6: Final answer
    x = 2,581.58

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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.