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Finding the Fourth Proportional to 1,967.51, 2,715.17 and 1,181.57

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Solution

The fourth proportional to 1,967.51, 2,715.17 and 1,181.57 is: 1,630.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.51 : 2,715.17 = 1,181.57 : x
  2. Step 2: Convert to fraction form
    1,967.51/2,715.17 = 1,181.57/x
  3. Step 3: Cross multiply
    1,967.51x = 2,715.17 × 1,181.57
  4. Step 4: Simplify right side
    1,967.51x = 3,208,143.93
  5. Step 5: Solve for x
    x = 3,208,143.93/1,967.51
  6. Step 6: Final answer
    x = 1,630.56

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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.