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Finding the Fourth Proportional to 2,296.11, 3,444.84 and 909.66

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Solution

The fourth proportional to 2,296.11, 3,444.84 and 909.66 is: 1,364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.11 : 3,444.84 = 909.66 : x
  2. Step 2: Convert to fraction form
    2,296.11/3,444.84 = 909.66/x
  3. Step 3: Cross multiply
    2,296.11x = 3,444.84 × 909.66
  4. Step 4: Simplify right side
    2,296.11x = 3,133,633.15
  5. Step 5: Solve for x
    x = 3,133,633.15/2,296.11
  6. Step 6: Final answer
    x = 1,364.76

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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.