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Finding the Fourth Proportional to 2,294.22, 3,165.74 and 1,285.98

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Solution

The fourth proportional to 2,294.22, 3,165.74 and 1,285.98 is: 1,774.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.22 : 3,165.74 = 1,285.98 : x
  2. Step 2: Convert to fraction form
    2,294.22/3,165.74 = 1,285.98/x
  3. Step 3: Cross multiply
    2,294.22x = 3,165.74 × 1,285.98
  4. Step 4: Simplify right side
    2,294.22x = 4,071,078.33
  5. Step 5: Solve for x
    x = 4,071,078.33/2,294.22
  6. Step 6: Final answer
    x = 1,774.49

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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.