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Finding the Fourth Proportional to 1,738.75, 2,399.50 and 952.83

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Solution

The fourth proportional to 1,738.75, 2,399.50 and 952.83 is: 1,314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.75 : 2,399.50 = 952.83 : x
  2. Step 2: Convert to fraction form
    1,738.75/2,399.50 = 952.83/x
  3. Step 3: Cross multiply
    1,738.75x = 2,399.50 × 952.83
  4. Step 4: Simplify right side
    1,738.75x = 2,286,301.21
  5. Step 5: Solve for x
    x = 2,286,301.21/1,738.75
  6. Step 6: Final answer
    x = 1,314.91

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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.