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Finding the Fourth Proportional to 2,053.72, 3,080.48 and 667.16

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Solution

The fourth proportional to 2,053.72, 3,080.48 and 667.16 is: 1,000.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.72 : 3,080.48 = 667.16 : x
  2. Step 2: Convert to fraction form
    2,053.72/3,080.48 = 667.16/x
  3. Step 3: Cross multiply
    2,053.72x = 3,080.48 × 667.16
  4. Step 4: Simplify right side
    2,053.72x = 2,055,173.04
  5. Step 5: Solve for x
    x = 2,055,173.04/2,053.72
  6. Step 6: Final answer
    x = 1,000.71

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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.