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Finding the Fourth Proportional to 2,351.44, 3,509.99 and 2,180.13

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Solution

The fourth proportional to 2,351.44, 3,509.99 and 2,180.13 is: 3,254.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.44 : 3,509.99 = 2,180.13 : x
  2. Step 2: Convert to fraction form
    2,351.44/3,509.99 = 2,180.13/x
  3. Step 3: Cross multiply
    2,351.44x = 3,509.99 × 2,180.13
  4. Step 4: Simplify right side
    2,351.44x = 7,652,234.50
  5. Step 5: Solve for x
    x = 7,652,234.50/2,351.44
  6. Step 6: Final answer
    x = 3,254.28

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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.