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Finding the Fourth Proportional to 2,309.69, 3,465.98 and 922.82

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Solution

The fourth proportional to 2,309.69, 3,465.98 and 922.82 is: 1,384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.69 : 3,465.98 = 922.82 : x
  2. Step 2: Convert to fraction form
    2,309.69/3,465.98 = 922.82/x
  3. Step 3: Cross multiply
    2,309.69x = 3,465.98 × 922.82
  4. Step 4: Simplify right side
    2,309.69x = 3,198,453.72
  5. Step 5: Solve for x
    x = 3,198,453.72/2,309.69
  6. Step 6: Final answer
    x = 1,384.80

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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.