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Finding the Fourth Proportional to 3,394.78, 5,092.94 and 1,314.80

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Solution

The fourth proportional to 3,394.78, 5,092.94 and 1,314.80 is: 1,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.78 : 5,092.94 = 1,314.80 : x
  2. Step 2: Convert to fraction form
    3,394.78/5,092.94 = 1,314.80/x
  3. Step 3: Cross multiply
    3,394.78x = 5,092.94 × 1,314.80
  4. Step 4: Simplify right side
    3,394.78x = 6,696,194.43
  5. Step 5: Solve for x
    x = 6,696,194.43/3,394.78
  6. Step 6: Final answer
    x = 1,972.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.