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Finding the Fourth Proportional to 2,135.64, 2,947.38 and 1,191.57

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Solution

The fourth proportional to 2,135.64, 2,947.38 and 1,191.57 is: 1,644.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.64 : 2,947.38 = 1,191.57 : x
  2. Step 2: Convert to fraction form
    2,135.64/2,947.38 = 1,191.57/x
  3. Step 3: Cross multiply
    2,135.64x = 2,947.38 × 1,191.57
  4. Step 4: Simplify right side
    2,135.64x = 3,512,009.59
  5. Step 5: Solve for x
    x = 3,512,009.59/2,135.64
  6. Step 6: Final answer
    x = 1,644.48

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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.