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Finding the Fourth Proportional to 2,519.60, 3,762.42 and 2,058.30

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Solution

The fourth proportional to 2,519.60, 3,762.42 and 2,058.30 is: 3,073.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.60 : 3,762.42 = 2,058.30 : x
  2. Step 2: Convert to fraction form
    2,519.60/3,762.42 = 2,058.30/x
  3. Step 3: Cross multiply
    2,519.60x = 3,762.42 × 2,058.30
  4. Step 4: Simplify right side
    2,519.60x = 7,744,189.09
  5. Step 5: Solve for x
    x = 7,744,189.09/2,519.60
  6. Step 6: Final answer
    x = 3,073.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.