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Finding the Fourth Proportional to 2,571.89, 3,548.81 and 1,509.98

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Solution

The fourth proportional to 2,571.89, 3,548.81 and 1,509.98 is: 2,083.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.89 : 3,548.81 = 1,509.98 : x
  2. Step 2: Convert to fraction form
    2,571.89/3,548.81 = 1,509.98/x
  3. Step 3: Cross multiply
    2,571.89x = 3,548.81 × 1,509.98
  4. Step 4: Simplify right side
    2,571.89x = 5,358,618.15
  5. Step 5: Solve for x
    x = 5,358,618.15/2,571.89
  6. Step 6: Final answer
    x = 2,083.54

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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.