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Finding the Fourth Proportional to 2,606.09, 3,909.18 and 874.73

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Solution

The fourth proportional to 2,606.09, 3,909.18 and 874.73 is: 1,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.09 : 3,909.18 = 874.73 : x
  2. Step 2: Convert to fraction form
    2,606.09/3,909.18 = 874.73/x
  3. Step 3: Cross multiply
    2,606.09x = 3,909.18 × 874.73
  4. Step 4: Simplify right side
    2,606.09x = 3,419,477.02
  5. Step 5: Solve for x
    x = 3,419,477.02/2,606.09
  6. Step 6: Final answer
    x = 1,312.11

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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.