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Finding the Fourth Proportional to 1,704.93, 2,352.80 and 997.26

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Solution

The fourth proportional to 1,704.93, 2,352.80 and 997.26 is: 1,376.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.93 : 2,352.80 = 997.26 : x
  2. Step 2: Convert to fraction form
    1,704.93/2,352.80 = 997.26/x
  3. Step 3: Cross multiply
    1,704.93x = 2,352.80 × 997.26
  4. Step 4: Simplify right side
    1,704.93x = 2,346,348.34
  5. Step 5: Solve for x
    x = 2,346,348.34/1,704.93
  6. Step 6: Final answer
    x = 1,376.21

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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.