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Finding the Fourth Proportional to 1,704.50, 2,352.23 and 958.41

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Solution

The fourth proportional to 1,704.50, 2,352.23 and 958.41 is: 1,322.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.50 : 2,352.23 = 958.41 : x
  2. Step 2: Convert to fraction form
    1,704.50/2,352.23 = 958.41/x
  3. Step 3: Cross multiply
    1,704.50x = 2,352.23 × 958.41
  4. Step 4: Simplify right side
    1,704.50x = 2,254,395.96
  5. Step 5: Solve for x
    x = 2,254,395.96/1,704.50
  6. Step 6: Final answer
    x = 1,322.62

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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.