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Finding the Fourth Proportional to 2,804.26, 4,204.96 and 1,571.34

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Solution

The fourth proportional to 2,804.26, 4,204.96 and 1,571.34 is: 2,356.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.26 : 4,204.96 = 1,571.34 : x
  2. Step 2: Convert to fraction form
    2,804.26/4,204.96 = 1,571.34/x
  3. Step 3: Cross multiply
    2,804.26x = 4,204.96 × 1,571.34
  4. Step 4: Simplify right side
    2,804.26x = 6,607,421.85
  5. Step 5: Solve for x
    x = 6,607,421.85/2,804.26
  6. Step 6: Final answer
    x = 2,356.21

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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.