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Finding the Fourth Proportional to 2,134.68, 2,945.52 and 1,203

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Solution

The fourth proportional to 2,134.68, 2,945.52 and 1,203 is: 1,659.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.68 : 2,945.52 = 1,203 : x
  2. Step 2: Convert to fraction form
    2,134.68/2,945.52 = 1,203/x
  3. Step 3: Cross multiply
    2,134.68x = 2,945.52 × 1,203
  4. Step 4: Simplify right side
    2,134.68x = 3,543,460.56
  5. Step 5: Solve for x
    x = 3,543,460.56/2,134.68
  6. Step 6: Final answer
    x = 1,659.95

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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.