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Finding the Fourth Proportional to 1,940.16, 2,678.16 and 1,143.84

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Solution

The fourth proportional to 1,940.16, 2,678.16 and 1,143.84 is: 1,578.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.16 : 2,678.16 = 1,143.84 : x
  2. Step 2: Convert to fraction form
    1,940.16/2,678.16 = 1,143.84/x
  3. Step 3: Cross multiply
    1,940.16x = 2,678.16 × 1,143.84
  4. Step 4: Simplify right side
    1,940.16x = 3,063,386.53
  5. Step 5: Solve for x
    x = 3,063,386.53/1,940.16
  6. Step 6: Final answer
    x = 1,578.94

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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.