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Finding the Fourth Proportional to 1,968.92, 2,967.18 and 1,774.14

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Solution

The fourth proportional to 1,968.92, 2,967.18 and 1,774.14 is: 2,673.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.92 : 2,967.18 = 1,774.14 : x
  2. Step 2: Convert to fraction form
    1,968.92/2,967.18 = 1,774.14/x
  3. Step 3: Cross multiply
    1,968.92x = 2,967.18 × 1,774.14
  4. Step 4: Simplify right side
    1,968.92x = 5,264,192.73
  5. Step 5: Solve for x
    x = 5,264,192.73/1,968.92
  6. Step 6: Final answer
    x = 2,673.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.