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Finding the Fourth Proportional to 1,863.21, 2,795.99 and 693.09

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Solution

The fourth proportional to 1,863.21, 2,795.99 and 693.09 is: 1,040.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.21 : 2,795.99 = 693.09 : x
  2. Step 2: Convert to fraction form
    1,863.21/2,795.99 = 693.09/x
  3. Step 3: Cross multiply
    1,863.21x = 2,795.99 × 693.09
  4. Step 4: Simplify right side
    1,863.21x = 1,937,869.24
  5. Step 5: Solve for x
    x = 1,937,869.24/1,863.21
  6. Step 6: Final answer
    x = 1,040.07

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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.