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Finding the Fourth Proportional to 1,728.33, 2,592.29 and 1,146.89

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Solution

The fourth proportional to 1,728.33, 2,592.29 and 1,146.89 is: 1,720.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.33 : 2,592.29 = 1,146.89 : x
  2. Step 2: Convert to fraction form
    1,728.33/2,592.29 = 1,146.89/x
  3. Step 3: Cross multiply
    1,728.33x = 2,592.29 × 1,146.89
  4. Step 4: Simplify right side
    1,728.33x = 2,973,052.78
  5. Step 5: Solve for x
    x = 2,973,052.78/1,728.33
  6. Step 6: Final answer
    x = 1,720.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.