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Finding the Fourth Proportional to 2,943.78, 4,057.47 and 1,894.02

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Solution

The fourth proportional to 2,943.78, 4,057.47 and 1,894.02 is: 2,610.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.78 : 4,057.47 = 1,894.02 : x
  2. Step 2: Convert to fraction form
    2,943.78/4,057.47 = 1,894.02/x
  3. Step 3: Cross multiply
    2,943.78x = 4,057.47 × 1,894.02
  4. Step 4: Simplify right side
    2,943.78x = 7,684,929.33
  5. Step 5: Solve for x
    x = 7,684,929.33/2,943.78
  6. Step 6: Final answer
    x = 2,610.57

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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.