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Finding the Fourth Proportional to 2,314.86, 3,193.88 and 1,319.78

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Solution

The fourth proportional to 2,314.86, 3,193.88 and 1,319.78 is: 1,820.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.86 : 3,193.88 = 1,319.78 : x
  2. Step 2: Convert to fraction form
    2,314.86/3,193.88 = 1,319.78/x
  3. Step 3: Cross multiply
    2,314.86x = 3,193.88 × 1,319.78
  4. Step 4: Simplify right side
    2,314.86x = 4,215,196.38
  5. Step 5: Solve for x
    x = 4,215,196.38/2,314.86
  6. Step 6: Final answer
    x = 1,820.93

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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.