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Finding the Fourth Proportional to 2,965.38, 4,094.13 and 1,903.59

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Solution

The fourth proportional to 2,965.38, 4,094.13 and 1,903.59 is: 2,628.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.38 : 4,094.13 = 1,903.59 : x
  2. Step 2: Convert to fraction form
    2,965.38/4,094.13 = 1,903.59/x
  3. Step 3: Cross multiply
    2,965.38x = 4,094.13 × 1,903.59
  4. Step 4: Simplify right side
    2,965.38x = 7,793,544.93
  5. Step 5: Solve for x
    x = 7,793,544.93/2,965.38
  6. Step 6: Final answer
    x = 2,628.18

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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.