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Finding the Fourth Proportional to 2,313.78, 3,193.10 and 1,319.21

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Solution

The fourth proportional to 2,313.78, 3,193.10 and 1,319.21 is: 1,820.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.78 : 3,193.10 = 1,319.21 : x
  2. Step 2: Convert to fraction form
    2,313.78/3,193.10 = 1,319.21/x
  3. Step 3: Cross multiply
    2,313.78x = 3,193.10 × 1,319.21
  4. Step 4: Simplify right side
    2,313.78x = 4,212,346.89
  5. Step 5: Solve for x
    x = 4,212,346.89/2,313.78
  6. Step 6: Final answer
    x = 1,820.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.