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Finding the Fourth Proportional to 2,083.72, 3,126.54 and 1,058.44

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Solution

The fourth proportional to 2,083.72, 3,126.54 and 1,058.44 is: 1,588.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.72 : 3,126.54 = 1,058.44 : x
  2. Step 2: Convert to fraction form
    2,083.72/3,126.54 = 1,058.44/x
  3. Step 3: Cross multiply
    2,083.72x = 3,126.54 × 1,058.44
  4. Step 4: Simplify right side
    2,083.72x = 3,309,255.00
  5. Step 5: Solve for x
    x = 3,309,255.00/2,083.72
  6. Step 6: Final answer
    x = 1,588.15

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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.