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Finding the Fourth Proportional to 2,058.61, 2,840.87 and 1,162.54

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Solution

The fourth proportional to 2,058.61, 2,840.87 and 1,162.54 is: 1,604.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.61 : 2,840.87 = 1,162.54 : x
  2. Step 2: Convert to fraction form
    2,058.61/2,840.87 = 1,162.54/x
  3. Step 3: Cross multiply
    2,058.61x = 2,840.87 × 1,162.54
  4. Step 4: Simplify right side
    2,058.61x = 3,302,610.81
  5. Step 5: Solve for x
    x = 3,302,610.81/2,058.61
  6. Step 6: Final answer
    x = 1,604.30

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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.