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Finding the Fourth Proportional to 2,173.62, 3,002.06 and 1,464.23

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Solution

The fourth proportional to 2,173.62, 3,002.06 and 1,464.23 is: 2,022.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.62 : 3,002.06 = 1,464.23 : x
  2. Step 2: Convert to fraction form
    2,173.62/3,002.06 = 1,464.23/x
  3. Step 3: Cross multiply
    2,173.62x = 3,002.06 × 1,464.23
  4. Step 4: Simplify right side
    2,173.62x = 4,395,698.99
  5. Step 5: Solve for x
    x = 4,395,698.99/2,173.62
  6. Step 6: Final answer
    x = 2,022.29

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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.