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Finding the Fourth Proportional to 1,706.33, 2,353.97 and 1,043.48

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Solution

The fourth proportional to 1,706.33, 2,353.97 and 1,043.48 is: 1,439.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.33 : 2,353.97 = 1,043.48 : x
  2. Step 2: Convert to fraction form
    1,706.33/2,353.97 = 1,043.48/x
  3. Step 3: Cross multiply
    1,706.33x = 2,353.97 × 1,043.48
  4. Step 4: Simplify right side
    1,706.33x = 2,456,303.63
  5. Step 5: Solve for x
    x = 2,456,303.63/1,706.33
  6. Step 6: Final answer
    x = 1,439.53

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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.