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Finding the Fourth Proportional to 1,606.09, 2,411.11 and 1,058.73

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Solution

The fourth proportional to 1,606.09, 2,411.11 and 1,058.73 is: 1,589.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.09 : 2,411.11 = 1,058.73 : x
  2. Step 2: Convert to fraction form
    1,606.09/2,411.11 = 1,058.73/x
  3. Step 3: Cross multiply
    1,606.09x = 2,411.11 × 1,058.73
  4. Step 4: Simplify right side
    1,606.09x = 2,552,709.20
  5. Step 5: Solve for x
    x = 2,552,709.20/1,606.09
  6. Step 6: Final answer
    x = 1,589.40

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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.