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Finding the Fourth Proportional to 2,178.93, 3,006.92 and 1,283.19

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Solution

The fourth proportional to 2,178.93, 3,006.92 and 1,283.19 is: 1,770.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.93 : 3,006.92 = 1,283.19 : x
  2. Step 2: Convert to fraction form
    2,178.93/3,006.92 = 1,283.19/x
  3. Step 3: Cross multiply
    2,178.93x = 3,006.92 × 1,283.19
  4. Step 4: Simplify right side
    2,178.93x = 3,858,443.26
  5. Step 5: Solve for x
    x = 3,858,443.26/2,178.93
  6. Step 6: Final answer
    x = 1,770.80

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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.