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Finding the Fourth Proportional to 2,323.18, 3,197.82 and 1,945.99

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Solution

The fourth proportional to 2,323.18, 3,197.82 and 1,945.99 is: 2,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.18 : 3,197.82 = 1,945.99 : x
  2. Step 2: Convert to fraction form
    2,323.18/3,197.82 = 1,945.99/x
  3. Step 3: Cross multiply
    2,323.18x = 3,197.82 × 1,945.99
  4. Step 4: Simplify right side
    2,323.18x = 6,222,925.74
  5. Step 5: Solve for x
    x = 6,222,925.74/2,323.18
  6. Step 6: Final answer
    x = 2,678.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.