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Finding the Fourth Proportional to 2,296.06, 3,443.34 and 909.15

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Solution

The fourth proportional to 2,296.06, 3,443.34 and 909.15 is: 1,363.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.06 : 3,443.34 = 909.15 : x
  2. Step 2: Convert to fraction form
    2,296.06/3,443.34 = 909.15/x
  3. Step 3: Cross multiply
    2,296.06x = 3,443.34 × 909.15
  4. Step 4: Simplify right side
    2,296.06x = 3,130,512.56
  5. Step 5: Solve for x
    x = 3,130,512.56/2,296.06
  6. Step 6: Final answer
    x = 1,363.43

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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.