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Finding the Fourth Proportional to 2,938.13, 4,406.72 and 857.64

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Solution

The fourth proportional to 2,938.13, 4,406.72 and 857.64 is: 1,286.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.13 : 4,406.72 = 857.64 : x
  2. Step 2: Convert to fraction form
    2,938.13/4,406.72 = 857.64/x
  3. Step 3: Cross multiply
    2,938.13x = 4,406.72 × 857.64
  4. Step 4: Simplify right side
    2,938.13x = 3,779,375.05
  5. Step 5: Solve for x
    x = 3,779,375.05/2,938.13
  6. Step 6: Final answer
    x = 1,286.32

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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.