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Finding the Fourth Proportional to 2,571.70, 3,838.92 and 2,260.30

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Solution

The fourth proportional to 2,571.70, 3,838.92 and 2,260.30 is: 3,374.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.70 : 3,838.92 = 2,260.30 : x
  2. Step 2: Convert to fraction form
    2,571.70/3,838.92 = 2,260.30/x
  3. Step 3: Cross multiply
    2,571.70x = 3,838.92 × 2,260.30
  4. Step 4: Simplify right side
    2,571.70x = 8,677,110.88
  5. Step 5: Solve for x
    x = 8,677,110.88/2,571.70
  6. Step 6: Final answer
    x = 3,374.08

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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.