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Finding the Fourth Proportional to 3,302.94, 4,559.07 and 1,906.62

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Solution

The fourth proportional to 3,302.94, 4,559.07 and 1,906.62 is: 2,631.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.94 : 4,559.07 = 1,906.62 : x
  2. Step 2: Convert to fraction form
    3,302.94/4,559.07 = 1,906.62/x
  3. Step 3: Cross multiply
    3,302.94x = 4,559.07 × 1,906.62
  4. Step 4: Simplify right side
    3,302.94x = 8,692,414.04
  5. Step 5: Solve for x
    x = 8,692,414.04/3,302.94
  6. Step 6: Final answer
    x = 2,631.72

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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.