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Finding the Fourth Proportional to 2,058.01, 3,080.17 and 1,645.21

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Solution

The fourth proportional to 2,058.01, 3,080.17 and 1,645.21 is: 2,462.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.01 : 3,080.17 = 1,645.21 : x
  2. Step 2: Convert to fraction form
    2,058.01/3,080.17 = 1,645.21/x
  3. Step 3: Cross multiply
    2,058.01x = 3,080.17 × 1,645.21
  4. Step 4: Simplify right side
    2,058.01x = 5,067,526.49
  5. Step 5: Solve for x
    x = 5,067,526.49/2,058.01
  6. Step 6: Final answer
    x = 2,462.35

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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.