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Finding the Fourth Proportional to 1,642, 2,269.20 and 1,467.04

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Solution

The fourth proportional to 1,642, 2,269.20 and 1,467.04 is: 2,027.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642 : 2,269.20 = 1,467.04 : x
  2. Step 2: Convert to fraction form
    1,642/2,269.20 = 1,467.04/x
  3. Step 3: Cross multiply
    1,642x = 2,269.20 × 1,467.04
  4. Step 4: Simplify right side
    1,642x = 3,329,007.17
  5. Step 5: Solve for x
    x = 3,329,007.17/1,642
  6. Step 6: Final answer
    x = 2,027.41

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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.