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Finding the Fourth Proportional to 2,640.39, 3,643.70 and 1,445.42

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Solution

The fourth proportional to 2,640.39, 3,643.70 and 1,445.42 is: 1,994.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.39 : 3,643.70 = 1,445.42 : x
  2. Step 2: Convert to fraction form
    2,640.39/3,643.70 = 1,445.42/x
  3. Step 3: Cross multiply
    2,640.39x = 3,643.70 × 1,445.42
  4. Step 4: Simplify right side
    2,640.39x = 5,266,676.85
  5. Step 5: Solve for x
    x = 5,266,676.85/2,640.39
  6. Step 6: Final answer
    x = 1,994.66

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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.