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Finding the Fourth Proportional to 1,968.30, 2,713.95 and 1,182.06

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Solution

The fourth proportional to 1,968.30, 2,713.95 and 1,182.06 is: 1,629.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.30 : 2,713.95 = 1,182.06 : x
  2. Step 2: Convert to fraction form
    1,968.30/2,713.95 = 1,182.06/x
  3. Step 3: Cross multiply
    1,968.30x = 2,713.95 × 1,182.06
  4. Step 4: Simplify right side
    1,968.30x = 3,208,051.74
  5. Step 5: Solve for x
    x = 3,208,051.74/1,968.30
  6. Step 6: Final answer
    x = 1,629.86

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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.