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Finding the Fourth Proportional to 2,230.56, 3,345.75 and 914.25

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Solution

The fourth proportional to 2,230.56, 3,345.75 and 914.25 is: 1,371.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.56 : 3,345.75 = 914.25 : x
  2. Step 2: Convert to fraction form
    2,230.56/3,345.75 = 914.25/x
  3. Step 3: Cross multiply
    2,230.56x = 3,345.75 × 914.25
  4. Step 4: Simplify right side
    2,230.56x = 3,058,851.94
  5. Step 5: Solve for x
    x = 3,058,851.94/2,230.56
  6. Step 6: Final answer
    x = 1,371.34

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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.