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Finding the Fourth Proportional to 2,965.62, 4,094.47 and 1,903.85

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Solution

The fourth proportional to 2,965.62, 4,094.47 and 1,903.85 is: 2,628.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.62 : 4,094.47 = 1,903.85 : x
  2. Step 2: Convert to fraction form
    2,965.62/4,094.47 = 1,903.85/x
  3. Step 3: Cross multiply
    2,965.62x = 4,094.47 × 1,903.85
  4. Step 4: Simplify right side
    2,965.62x = 7,795,256.71
  5. Step 5: Solve for x
    x = 7,795,256.71/2,965.62
  6. Step 6: Final answer
    x = 2,628.54

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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.