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Finding the Fourth Proportional to 1,617.75, 2,231.91 and 1,058.54

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Solution

The fourth proportional to 1,617.75, 2,231.91 and 1,058.54 is: 1,460.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.75 : 2,231.91 = 1,058.54 : x
  2. Step 2: Convert to fraction form
    1,617.75/2,231.91 = 1,058.54/x
  3. Step 3: Cross multiply
    1,617.75x = 2,231.91 × 1,058.54
  4. Step 4: Simplify right side
    1,617.75x = 2,362,560.72
  5. Step 5: Solve for x
    x = 2,362,560.72/1,617.75
  6. Step 6: Final answer
    x = 1,460.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.