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Finding the Fourth Proportional to 1,629.69, 2,447.62 and 1,017.68

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Solution

The fourth proportional to 1,629.69, 2,447.62 and 1,017.68 is: 1,528.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.69 : 2,447.62 = 1,017.68 : x
  2. Step 2: Convert to fraction form
    1,629.69/2,447.62 = 1,017.68/x
  3. Step 3: Cross multiply
    1,629.69x = 2,447.62 × 1,017.68
  4. Step 4: Simplify right side
    1,629.69x = 2,490,892.91
  5. Step 5: Solve for x
    x = 2,490,892.91/1,629.69
  6. Step 6: Final answer
    x = 1,528.45

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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.