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Finding the Fourth Proportional to 2,392.50, 3,571.91 and 2,045.96

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Solution

The fourth proportional to 2,392.50, 3,571.91 and 2,045.96 is: 3,054.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.50 : 3,571.91 = 2,045.96 : x
  2. Step 2: Convert to fraction form
    2,392.50/3,571.91 = 2,045.96/x
  3. Step 3: Cross multiply
    2,392.50x = 3,571.91 × 2,045.96
  4. Step 4: Simplify right side
    2,392.50x = 7,307,984.98
  5. Step 5: Solve for x
    x = 7,307,984.98/2,392.50
  6. Step 6: Final answer
    x = 3,054.54

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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.