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Finding the Fourth Proportional to 2,938.60, 4,407.46 and 858.05

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Solution

The fourth proportional to 2,938.60, 4,407.46 and 858.05 is: 1,286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.60 : 4,407.46 = 858.05 : x
  2. Step 2: Convert to fraction form
    2,938.60/4,407.46 = 858.05/x
  3. Step 3: Cross multiply
    2,938.60x = 4,407.46 × 858.05
  4. Step 4: Simplify right side
    2,938.60x = 3,781,800.09
  5. Step 5: Solve for x
    x = 3,781,800.09/2,938.60
  6. Step 6: Final answer
    x = 1,286.94

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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.