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Finding the Fourth Proportional to 1,795.39, 2,687.52 and 971.62

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Solution

The fourth proportional to 1,795.39, 2,687.52 and 971.62 is: 1,454.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.39 : 2,687.52 = 971.62 : x
  2. Step 2: Convert to fraction form
    1,795.39/2,687.52 = 971.62/x
  3. Step 3: Cross multiply
    1,795.39x = 2,687.52 × 971.62
  4. Step 4: Simplify right side
    1,795.39x = 2,611,245.83
  5. Step 5: Solve for x
    x = 2,611,245.83/1,795.39
  6. Step 6: Final answer
    x = 1,454.42

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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.