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Finding the Fourth Proportional to 2,571.42, 3,859.29 and 2,061.66

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Solution

The fourth proportional to 2,571.42, 3,859.29 and 2,061.66 is: 3,094.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.42 : 3,859.29 = 2,061.66 : x
  2. Step 2: Convert to fraction form
    2,571.42/3,859.29 = 2,061.66/x
  3. Step 3: Cross multiply
    2,571.42x = 3,859.29 × 2,061.66
  4. Step 4: Simplify right side
    2,571.42x = 7,956,543.82
  5. Step 5: Solve for x
    x = 7,956,543.82/2,571.42
  6. Step 6: Final answer
    x = 3,094.22

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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.