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Finding the Fourth Proportional to 2,058.85, 3,083.01 and 1,133.39

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Solution

The fourth proportional to 2,058.85, 3,083.01 and 1,133.39 is: 1,697.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.85 : 3,083.01 = 1,133.39 : x
  2. Step 2: Convert to fraction form
    2,058.85/3,083.01 = 1,133.39/x
  3. Step 3: Cross multiply
    2,058.85x = 3,083.01 × 1,133.39
  4. Step 4: Simplify right side
    2,058.85x = 3,494,262.54
  5. Step 5: Solve for x
    x = 3,494,262.54/2,058.85
  6. Step 6: Final answer
    x = 1,697.19

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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.