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Finding the Fourth Proportional to 2,645.98, 3,651.44 and 1,467.05

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Solution

The fourth proportional to 2,645.98, 3,651.44 and 1,467.05 is: 2,024.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.98 : 3,651.44 = 1,467.05 : x
  2. Step 2: Convert to fraction form
    2,645.98/3,651.44 = 1,467.05/x
  3. Step 3: Cross multiply
    2,645.98x = 3,651.44 × 1,467.05
  4. Step 4: Simplify right side
    2,645.98x = 5,356,845.05
  5. Step 5: Solve for x
    x = 5,356,845.05/2,645.98
  6. Step 6: Final answer
    x = 2,024.52

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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.