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Finding the Fourth Proportional to 2,294.98, 3,165.68 and 1,853.48

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Solution

The fourth proportional to 2,294.98, 3,165.68 and 1,853.48 is: 2,556.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.98 : 3,165.68 = 1,853.48 : x
  2. Step 2: Convert to fraction form
    2,294.98/3,165.68 = 1,853.48/x
  3. Step 3: Cross multiply
    2,294.98x = 3,165.68 × 1,853.48
  4. Step 4: Simplify right side
    2,294.98x = 5,867,537.11
  5. Step 5: Solve for x
    x = 5,867,537.11/2,294.98
  6. Step 6: Final answer
    x = 2,556.68

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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.