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Finding the Fourth Proportional to 1,681.96, 2,520.82 and 1,195.12

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Solution

The fourth proportional to 1,681.96, 2,520.82 and 1,195.12 is: 1,791.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.96 : 2,520.82 = 1,195.12 : x
  2. Step 2: Convert to fraction form
    1,681.96/2,520.82 = 1,195.12/x
  3. Step 3: Cross multiply
    1,681.96x = 2,520.82 × 1,195.12
  4. Step 4: Simplify right side
    1,681.96x = 3,012,682.40
  5. Step 5: Solve for x
    x = 3,012,682.40/1,681.96
  6. Step 6: Final answer
    x = 1,791.17

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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.