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Finding the Fourth Proportional to 1,964.12, 2,710.42 and 1,178.02

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Solution

The fourth proportional to 1,964.12, 2,710.42 and 1,178.02 is: 1,625.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.12 : 2,710.42 = 1,178.02 : x
  2. Step 2: Convert to fraction form
    1,964.12/2,710.42 = 1,178.02/x
  3. Step 3: Cross multiply
    1,964.12x = 2,710.42 × 1,178.02
  4. Step 4: Simplify right side
    1,964.12x = 3,192,928.97
  5. Step 5: Solve for x
    x = 3,192,928.97/1,964.12
  6. Step 6: Final answer
    x = 1,625.63

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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.