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Finding the Fourth Proportional to 2,606.36, 3,909.54 and 851.51

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Solution

The fourth proportional to 2,606.36, 3,909.54 and 851.51 is: 1,277.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.36 : 3,909.54 = 851.51 : x
  2. Step 2: Convert to fraction form
    2,606.36/3,909.54 = 851.51/x
  3. Step 3: Cross multiply
    2,606.36x = 3,909.54 × 851.51
  4. Step 4: Simplify right side
    2,606.36x = 3,328,992.86
  5. Step 5: Solve for x
    x = 3,328,992.86/2,606.36
  6. Step 6: Final answer
    x = 1,277.26

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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.