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Finding the Fourth Proportional to 3,394.68, 4,684.90 and 1,902.74

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Solution

The fourth proportional to 3,394.68, 4,684.90 and 1,902.74 is: 2,625.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.68 : 4,684.90 = 1,902.74 : x
  2. Step 2: Convert to fraction form
    3,394.68/4,684.90 = 1,902.74/x
  3. Step 3: Cross multiply
    3,394.68x = 4,684.90 × 1,902.74
  4. Step 4: Simplify right side
    3,394.68x = 8,914,146.63
  5. Step 5: Solve for x
    x = 8,914,146.63/3,394.68
  6. Step 6: Final answer
    x = 2,625.92

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1.5x scale

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.