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Finding the Fourth Proportional to 2,314, 3,193.41 and 1,319.26

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Solution

The fourth proportional to 2,314, 3,193.41 and 1,319.26 is: 1,820.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314 : 3,193.41 = 1,319.26 : x
  2. Step 2: Convert to fraction form
    2,314/3,193.41 = 1,319.26/x
  3. Step 3: Cross multiply
    2,314x = 3,193.41 × 1,319.26
  4. Step 4: Simplify right side
    2,314x = 4,212,938.08
  5. Step 5: Solve for x
    x = 4,212,938.08/2,314
  6. Step 6: Final answer
    x = 1,820.63

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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.