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Finding the Fourth Proportional to 2,571.84, 3,546.14 and 1,775.59

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Solution

The fourth proportional to 2,571.84, 3,546.14 and 1,775.59 is: 2,448.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.84 : 3,546.14 = 1,775.59 : x
  2. Step 2: Convert to fraction form
    2,571.84/3,546.14 = 1,775.59/x
  3. Step 3: Cross multiply
    2,571.84x = 3,546.14 × 1,775.59
  4. Step 4: Simplify right side
    2,571.84x = 6,296,472.98
  5. Step 5: Solve for x
    x = 6,296,472.98/2,571.84
  6. Step 6: Final answer
    x = 2,448.24

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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.