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Finding the Fourth Proportional to 1,735.73, 2,602.52 and 810.89

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Solution

The fourth proportional to 1,735.73, 2,602.52 and 810.89 is: 1,215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.73 : 2,602.52 = 810.89 : x
  2. Step 2: Convert to fraction form
    1,735.73/2,602.52 = 810.89/x
  3. Step 3: Cross multiply
    1,735.73x = 2,602.52 × 810.89
  4. Step 4: Simplify right side
    1,735.73x = 2,110,353.39
  5. Step 5: Solve for x
    x = 2,110,353.39/1,735.73
  6. Step 6: Final answer
    x = 1,215.83

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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.