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Finding the Fourth Proportional to 2,058.70, 3,089.40 and 2,051.14

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Solution

The fourth proportional to 2,058.70, 3,089.40 and 2,051.14 is: 3,078.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.70 : 3,089.40 = 2,051.14 : x
  2. Step 2: Convert to fraction form
    2,058.70/3,089.40 = 2,051.14/x
  3. Step 3: Cross multiply
    2,058.70x = 3,089.40 × 2,051.14
  4. Step 4: Simplify right side
    2,058.70x = 6,336,791.92
  5. Step 5: Solve for x
    x = 6,336,791.92/2,058.70
  6. Step 6: Final answer
    x = 3,078.06

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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.