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Finding the Fourth Proportional to 1,203.60, 1,792.96 and 1,167.36

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Solution

The fourth proportional to 1,203.60, 1,792.96 and 1,167.36 is: 1,738.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.60 : 1,792.96 = 1,167.36 : x
  2. Step 2: Convert to fraction form
    1,203.60/1,792.96 = 1,167.36/x
  3. Step 3: Cross multiply
    1,203.60x = 1,792.96 × 1,167.36
  4. Step 4: Simplify right side
    1,203.60x = 2,093,029.79
  5. Step 5: Solve for x
    x = 2,093,029.79/1,203.60
  6. Step 6: Final answer
    x = 1,738.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.