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Finding the Fourth Proportional to 1,963.13, 2,709.63 and 1,177.65

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Solution

The fourth proportional to 1,963.13, 2,709.63 and 1,177.65 is: 1,625.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.13 : 2,709.63 = 1,177.65 : x
  2. Step 2: Convert to fraction form
    1,963.13/2,709.63 = 1,177.65/x
  3. Step 3: Cross multiply
    1,963.13x = 2,709.63 × 1,177.65
  4. Step 4: Simplify right side
    1,963.13x = 3,190,995.77
  5. Step 5: Solve for x
    x = 3,190,995.77/1,963.13
  6. Step 6: Final answer
    x = 1,625.47

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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.