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Finding the Fourth Proportional to 2,293.82, 3,165.68 and 1,454.22

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Solution

The fourth proportional to 2,293.82, 3,165.68 and 1,454.22 is: 2,006.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.82 : 3,165.68 = 1,454.22 : x
  2. Step 2: Convert to fraction form
    2,293.82/3,165.68 = 1,454.22/x
  3. Step 3: Cross multiply
    2,293.82x = 3,165.68 × 1,454.22
  4. Step 4: Simplify right side
    2,293.82x = 4,603,587.90
  5. Step 5: Solve for x
    x = 4,603,587.90/2,293.82
  6. Step 6: Final answer
    x = 2,006.95

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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.