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Finding the Fourth Proportional to 1,947.03, 2,917.82 and 1,069.71

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Solution

The fourth proportional to 1,947.03, 2,917.82 and 1,069.71 is: 1,603.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.03 : 2,917.82 = 1,069.71 : x
  2. Step 2: Convert to fraction form
    1,947.03/2,917.82 = 1,069.71/x
  3. Step 3: Cross multiply
    1,947.03x = 2,917.82 × 1,069.71
  4. Step 4: Simplify right side
    1,947.03x = 3,121,201.29
  5. Step 5: Solve for x
    x = 3,121,201.29/1,947.03
  6. Step 6: Final answer
    x = 1,603.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.