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Finding the Fourth Proportional to 2,193.82, 3,291.95 and 895.19

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Solution

The fourth proportional to 2,193.82, 3,291.95 and 895.19 is: 1,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.82 : 3,291.95 = 895.19 : x
  2. Step 2: Convert to fraction form
    2,193.82/3,291.95 = 895.19/x
  3. Step 3: Cross multiply
    2,193.82x = 3,291.95 × 895.19
  4. Step 4: Simplify right side
    2,193.82x = 2,946,920.72
  5. Step 5: Solve for x
    x = 2,946,920.72/2,193.82
  6. Step 6: Final answer
    x = 1,343.28

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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.