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Finding the Fourth Proportional to 1,772.90, 2,446.89 and 1,074.62

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Solution

The fourth proportional to 1,772.90, 2,446.89 and 1,074.62 is: 1,483.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.90 : 2,446.89 = 1,074.62 : x
  2. Step 2: Convert to fraction form
    1,772.90/2,446.89 = 1,074.62/x
  3. Step 3: Cross multiply
    1,772.90x = 2,446.89 × 1,074.62
  4. Step 4: Simplify right side
    1,772.90x = 2,629,476.93
  5. Step 5: Solve for x
    x = 2,629,476.93/1,772.90
  6. Step 6: Final answer
    x = 1,483.15

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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.