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Finding the Fourth Proportional to 2,296.59, 3,440.09 and 1,905.66

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Solution

The fourth proportional to 2,296.59, 3,440.09 and 1,905.66 is: 2,854.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.59 : 3,440.09 = 1,905.66 : x
  2. Step 2: Convert to fraction form
    2,296.59/3,440.09 = 1,905.66/x
  3. Step 3: Cross multiply
    2,296.59x = 3,440.09 × 1,905.66
  4. Step 4: Simplify right side
    2,296.59x = 6,555,632.38
  5. Step 5: Solve for x
    x = 6,555,632.38/2,296.59
  6. Step 6: Final answer
    x = 2,854.51

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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.