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Finding the Fourth Proportional to 2,058.51, 3,080.92 and 1,645.71

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Solution

The fourth proportional to 2,058.51, 3,080.92 and 1,645.71 is: 2,463.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.51 : 3,080.92 = 1,645.71 : x
  2. Step 2: Convert to fraction form
    2,058.51/3,080.92 = 1,645.71/x
  3. Step 3: Cross multiply
    2,058.51x = 3,080.92 × 1,645.71
  4. Step 4: Simplify right side
    2,058.51x = 5,070,300.85
  5. Step 5: Solve for x
    x = 5,070,300.85/2,058.51
  6. Step 6: Final answer
    x = 2,463.10

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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.