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Finding the Fourth Proportional to 4,187.01, 6,280.49 and 1,067.00

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Solution

The fourth proportional to 4,187.01, 6,280.49 and 1,067.00 is: 1,600.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.01 : 6,280.49 = 1,067.00 : x
  2. Step 2: Convert to fraction form
    4,187.01/6,280.49 = 1,067.00/x
  3. Step 3: Cross multiply
    4,187.01x = 6,280.49 × 1,067.00
  4. Step 4: Simplify right side
    4,187.01x = 6,701,300.63
  5. Step 5: Solve for x
    x = 6,701,300.63/4,187.01
  6. Step 6: Final answer
    x = 1,600.50

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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.