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Finding the Fourth Proportional to 1,704.67, 2,353.99 and 1,076.31

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Solution

The fourth proportional to 1,704.67, 2,353.99 and 1,076.31 is: 1,486.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.67 : 2,353.99 = 1,076.31 : x
  2. Step 2: Convert to fraction form
    1,704.67/2,353.99 = 1,076.31/x
  3. Step 3: Cross multiply
    1,704.67x = 2,353.99 × 1,076.31
  4. Step 4: Simplify right side
    1,704.67x = 2,533,617.60
  5. Step 5: Solve for x
    x = 2,533,617.60/1,704.67
  6. Step 6: Final answer
    x = 1,486.28

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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.