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Finding the Fourth Proportional to 3,101.22, 4,652.79 and 909.99

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Solution

The fourth proportional to 3,101.22, 4,652.79 and 909.99 is: 1,365.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.22 : 4,652.79 = 909.99 : x
  2. Step 2: Convert to fraction form
    3,101.22/4,652.79 = 909.99/x
  3. Step 3: Cross multiply
    3,101.22x = 4,652.79 × 909.99
  4. Step 4: Simplify right side
    3,101.22x = 4,233,992.37
  5. Step 5: Solve for x
    x = 4,233,992.37/3,101.22
  6. Step 6: Final answer
    x = 1,365.27

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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.