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Finding the Fourth Proportional to 2,650.01, 3,974.58 and 1,006.16

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Solution

The fourth proportional to 2,650.01, 3,974.58 and 1,006.16 is: 1,509.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.01 : 3,974.58 = 1,006.16 : x
  2. Step 2: Convert to fraction form
    2,650.01/3,974.58 = 1,006.16/x
  3. Step 3: Cross multiply
    2,650.01x = 3,974.58 × 1,006.16
  4. Step 4: Simplify right side
    2,650.01x = 3,999,043.54
  5. Step 5: Solve for x
    x = 3,999,043.54/2,650.01
  6. Step 6: Final answer
    x = 1,509.07

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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.