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Finding the Fourth Proportional to 2,650.61, 3,971.76 and 1,006.26

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Solution

The fourth proportional to 2,650.61, 3,971.76 and 1,006.26 is: 1,507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.61 : 3,971.76 = 1,006.26 : x
  2. Step 2: Convert to fraction form
    2,650.61/3,971.76 = 1,006.26/x
  3. Step 3: Cross multiply
    2,650.61x = 3,971.76 × 1,006.26
  4. Step 4: Simplify right side
    2,650.61x = 3,996,623.22
  5. Step 5: Solve for x
    x = 3,996,623.22/2,650.61
  6. Step 6: Final answer
    x = 1,507.82

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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.