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Finding the Fourth Proportional to 2,938.28, 4,406.74 and 858.28

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Solution

The fourth proportional to 2,938.28, 4,406.74 and 858.28 is: 1,287.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.28 : 4,406.74 = 858.28 : x
  2. Step 2: Convert to fraction form
    2,938.28/4,406.74 = 858.28/x
  3. Step 3: Cross multiply
    2,938.28x = 4,406.74 × 858.28
  4. Step 4: Simplify right side
    2,938.28x = 3,782,216.81
  5. Step 5: Solve for x
    x = 3,782,216.81/2,938.28
  6. Step 6: Final answer
    x = 1,287.22

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