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Finding the Fourth Proportional to 2,764.72, 3,812.79 and 2,058.35

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Solution

The fourth proportional to 2,764.72, 3,812.79 and 2,058.35 is: 2,838.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.72 : 3,812.79 = 2,058.35 : x
  2. Step 2: Convert to fraction form
    2,764.72/3,812.79 = 2,058.35/x
  3. Step 3: Cross multiply
    2,764.72x = 3,812.79 × 2,058.35
  4. Step 4: Simplify right side
    2,764.72x = 7,848,066.40
  5. Step 5: Solve for x
    x = 7,848,066.40/2,764.72
  6. Step 6: Final answer
    x = 2,838.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.