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Finding the Fourth Proportional to 2,067.02, 3,100.50 and 507.02

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Solution

The fourth proportional to 2,067.02, 3,100.50 and 507.02 is: 760.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.02 : 3,100.50 = 507.02 : x
  2. Step 2: Convert to fraction form
    2,067.02/3,100.50 = 507.02/x
  3. Step 3: Cross multiply
    2,067.02x = 3,100.50 × 507.02
  4. Step 4: Simplify right side
    2,067.02x = 1,572,000.01
  5. Step 5: Solve for x
    x = 1,572,000.01/2,067.02
  6. Step 6: Final answer
    x = 760.52

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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.