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Finding the Fourth Proportional to 2,650.29, 3,973.87 and 1,006.95

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Solution

The fourth proportional to 2,650.29, 3,973.87 and 1,006.95 is: 1,509.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.29 : 3,973.87 = 1,006.95 : x
  2. Step 2: Convert to fraction form
    2,650.29/3,973.87 = 1,006.95/x
  3. Step 3: Cross multiply
    2,650.29x = 3,973.87 × 1,006.95
  4. Step 4: Simplify right side
    2,650.29x = 4,001,488.40
  5. Step 5: Solve for x
    x = 4,001,488.40/2,650.29
  6. Step 6: Final answer
    x = 1,509.83

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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.