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Finding the Fourth Proportional to 2,266.56, 3,406.28 and 1,342.31

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Solution

The fourth proportional to 2,266.56, 3,406.28 and 1,342.31 is: 2,017.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.56 : 3,406.28 = 1,342.31 : x
  2. Step 2: Convert to fraction form
    2,266.56/3,406.28 = 1,342.31/x
  3. Step 3: Cross multiply
    2,266.56x = 3,406.28 × 1,342.31
  4. Step 4: Simplify right side
    2,266.56x = 4,572,259.96
  5. Step 5: Solve for x
    x = 4,572,259.96/2,266.56
  6. Step 6: Final answer
    x = 2,017.27

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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.