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Finding the Fourth Proportional to 2,650.07, 3,973.55 and 1,006.73

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Solution

The fourth proportional to 2,650.07, 3,973.55 and 1,006.73 is: 1,509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.07 : 3,973.55 = 1,006.73 : x
  2. Step 2: Convert to fraction form
    2,650.07/3,973.55 = 1,006.73/x
  3. Step 3: Cross multiply
    2,650.07x = 3,973.55 × 1,006.73
  4. Step 4: Simplify right side
    2,650.07x = 4,000,296.89
  5. Step 5: Solve for x
    x = 4,000,296.89/2,650.07
  6. Step 6: Final answer
    x = 1,509.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.