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Finding the Fourth Proportional to 1,963.06, 2,709.06 and 1,078.92

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Solution

The fourth proportional to 1,963.06, 2,709.06 and 1,078.92 is: 1,488.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.06 : 2,709.06 = 1,078.92 : x
  2. Step 2: Convert to fraction form
    1,963.06/2,709.06 = 1,078.92/x
  3. Step 3: Cross multiply
    1,963.06x = 2,709.06 × 1,078.92
  4. Step 4: Simplify right side
    1,963.06x = 2,922,842.77
  5. Step 5: Solve for x
    x = 2,922,842.77/1,963.06
  6. Step 6: Final answer
    x = 1,488.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.