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Finding the Fourth Proportional to 2,848.86, 4,274.73 and 1,922.47

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Solution

The fourth proportional to 2,848.86, 4,274.73 and 1,922.47 is: 2,884.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848.86 : 4,274.73 = 1,922.47 : x
  2. Step 2: Convert to fraction form
    2,848.86/4,274.73 = 1,922.47/x
  3. Step 3: Cross multiply
    2,848.86x = 4,274.73 × 1,922.47
  4. Step 4: Simplify right side
    2,848.86x = 8,218,040.18
  5. Step 5: Solve for x
    x = 8,218,040.18/2,848.86
  6. Step 6: Final answer
    x = 2,884.68

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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.