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Finding the Fourth Proportional to 1,642.82, 2,449.76 and 1,628.01

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Solution

The fourth proportional to 1,642.82, 2,449.76 and 1,628.01 is: 2,427.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.82 : 2,449.76 = 1,628.01 : x
  2. Step 2: Convert to fraction form
    1,642.82/2,449.76 = 1,628.01/x
  3. Step 3: Cross multiply
    1,642.82x = 2,449.76 × 1,628.01
  4. Step 4: Simplify right side
    1,642.82x = 3,988,233.78
  5. Step 5: Solve for x
    x = 3,988,233.78/1,642.82
  6. Step 6: Final answer
    x = 2,427.68

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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.