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Finding the Fourth Proportional to 2,314.54, 3,193.90 and 1,319.76

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Solution

The fourth proportional to 2,314.54, 3,193.90 and 1,319.76 is: 1,821.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.54 : 3,193.90 = 1,319.76 : x
  2. Step 2: Convert to fraction form
    2,314.54/3,193.90 = 1,319.76/x
  3. Step 3: Cross multiply
    2,314.54x = 3,193.90 × 1,319.76
  4. Step 4: Simplify right side
    2,314.54x = 4,215,181.46
  5. Step 5: Solve for x
    x = 4,215,181.46/2,314.54
  6. Step 6: Final answer
    x = 1,821.17

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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.