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Finding the Fourth Proportional to 1,642.19, 2,464.42 and 668.29

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Solution

The fourth proportional to 1,642.19, 2,464.42 and 668.29 is: 1,002.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.19 : 2,464.42 = 668.29 : x
  2. Step 2: Convert to fraction form
    1,642.19/2,464.42 = 668.29/x
  3. Step 3: Cross multiply
    1,642.19x = 2,464.42 × 668.29
  4. Step 4: Simplify right side
    1,642.19x = 1,646,947.24
  5. Step 5: Solve for x
    x = 1,646,947.24/1,642.19
  6. Step 6: Final answer
    x = 1,002.90

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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.