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Finding the Fourth Proportional to 2,135.64, 2,947.44 and 1,296.39

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Solution

The fourth proportional to 2,135.64, 2,947.44 and 1,296.39 is: 1,789.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.64 : 2,947.44 = 1,296.39 : x
  2. Step 2: Convert to fraction form
    2,135.64/2,947.44 = 1,296.39/x
  3. Step 3: Cross multiply
    2,135.64x = 2,947.44 × 1,296.39
  4. Step 4: Simplify right side
    2,135.64x = 3,821,031.74
  5. Step 5: Solve for x
    x = 3,821,031.74/2,135.64
  6. Step 6: Final answer
    x = 1,789.17

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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.