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Finding the Fourth Proportional to 1,903.89, 2,640.83 and 1,853.34

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Solution

The fourth proportional to 1,903.89, 2,640.83 and 1,853.34 is: 2,570.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.89 : 2,640.83 = 1,853.34 : x
  2. Step 2: Convert to fraction form
    1,903.89/2,640.83 = 1,853.34/x
  3. Step 3: Cross multiply
    1,903.89x = 2,640.83 × 1,853.34
  4. Step 4: Simplify right side
    1,903.89x = 4,894,346.61
  5. Step 5: Solve for x
    x = 4,894,346.61/1,903.89
  6. Step 6: Final answer
    x = 2,570.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.