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Finding the Fourth Proportional to 3,067.02, 4,600.50 and 875.74

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Solution

The fourth proportional to 3,067.02, 4,600.50 and 875.74 is: 1,313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.02 : 4,600.50 = 875.74 : x
  2. Step 2: Convert to fraction form
    3,067.02/4,600.50 = 875.74/x
  3. Step 3: Cross multiply
    3,067.02x = 4,600.50 × 875.74
  4. Step 4: Simplify right side
    3,067.02x = 4,028,841.87
  5. Step 5: Solve for x
    x = 4,028,841.87/3,067.02
  6. Step 6: Final answer
    x = 1,313.60

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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.