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Finding the Fourth Proportional to 1,608.47, 2,410.54 and 729.89

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Solution

The fourth proportional to 1,608.47, 2,410.54 and 729.89 is: 1,093.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.47 : 2,410.54 = 729.89 : x
  2. Step 2: Convert to fraction form
    1,608.47/2,410.54 = 729.89/x
  3. Step 3: Cross multiply
    1,608.47x = 2,410.54 × 729.89
  4. Step 4: Simplify right side
    1,608.47x = 1,759,415.16
  5. Step 5: Solve for x
    x = 1,759,415.16/1,608.47
  6. Step 6: Final answer
    x = 1,093.84

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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.