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Finding the Fourth Proportional to 2,058.51, 3,085.42 and 825.29

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Solution

The fourth proportional to 2,058.51, 3,085.42 and 825.29 is: 1,236.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.51 : 3,085.42 = 825.29 : x
  2. Step 2: Convert to fraction form
    2,058.51/3,085.42 = 825.29/x
  3. Step 3: Cross multiply
    2,058.51x = 3,085.42 × 825.29
  4. Step 4: Simplify right side
    2,058.51x = 2,546,359.58
  5. Step 5: Solve for x
    x = 2,546,359.58/2,058.51
  6. Step 6: Final answer
    x = 1,236.99

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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.