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Finding the Fourth Proportional to 1,968.66, 2,715.89 and 1,182.25

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Solution

The fourth proportional to 1,968.66, 2,715.89 and 1,182.25 is: 1,630.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.66 : 2,715.89 = 1,182.25 : x
  2. Step 2: Convert to fraction form
    1,968.66/2,715.89 = 1,182.25/x
  3. Step 3: Cross multiply
    1,968.66x = 2,715.89 × 1,182.25
  4. Step 4: Simplify right side
    1,968.66x = 3,210,860.95
  5. Step 5: Solve for x
    x = 3,210,860.95/1,968.66
  6. Step 6: Final answer
    x = 1,630.99

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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.