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Finding the Fourth Proportional to 1,706.89, 2,352.73 and 1,333.22

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Solution

The fourth proportional to 1,706.89, 2,352.73 and 1,333.22 is: 1,837.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.89 : 2,352.73 = 1,333.22 : x
  2. Step 2: Convert to fraction form
    1,706.89/2,352.73 = 1,333.22/x
  3. Step 3: Cross multiply
    1,706.89x = 2,352.73 × 1,333.22
  4. Step 4: Simplify right side
    1,706.89x = 3,136,701.37
  5. Step 5: Solve for x
    x = 3,136,701.37/1,706.89
  6. Step 6: Final answer
    x = 1,837.68

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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.