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Finding the Fourth Proportional to 2,231.56, 3,346.86 and 1,410.28

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Solution

The fourth proportional to 2,231.56, 3,346.86 and 1,410.28 is: 2,115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.56 : 3,346.86 = 1,410.28 : x
  2. Step 2: Convert to fraction form
    2,231.56/3,346.86 = 1,410.28/x
  3. Step 3: Cross multiply
    2,231.56x = 3,346.86 × 1,410.28
  4. Step 4: Simplify right side
    2,231.56x = 4,720,009.72
  5. Step 5: Solve for x
    x = 4,720,009.72/2,231.56
  6. Step 6: Final answer
    x = 2,115.12

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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.