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Finding the Fourth Proportional to 2,858.40, 4,288.80 and 2,134.26

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Solution

The fourth proportional to 2,858.40, 4,288.80 and 2,134.26 is: 3,202.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.40 : 4,288.80 = 2,134.26 : x
  2. Step 2: Convert to fraction form
    2,858.40/4,288.80 = 2,134.26/x
  3. Step 3: Cross multiply
    2,858.40x = 4,288.80 × 2,134.26
  4. Step 4: Simplify right side
    2,858.40x = 9,153,414.29
  5. Step 5: Solve for x
    x = 9,153,414.29/2,858.40
  6. Step 6: Final answer
    x = 3,202.29

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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.