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Finding the Fourth Proportional to 1,705.89, 2,556.43 and 1,357.67

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Solution

The fourth proportional to 1,705.89, 2,556.43 and 1,357.67 is: 2,034.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.89 : 2,556.43 = 1,357.67 : x
  2. Step 2: Convert to fraction form
    1,705.89/2,556.43 = 1,357.67/x
  3. Step 3: Cross multiply
    1,705.89x = 2,556.43 × 1,357.67
  4. Step 4: Simplify right side
    1,705.89x = 3,470,791.31
  5. Step 5: Solve for x
    x = 3,470,791.31/1,705.89
  6. Step 6: Final answer
    x = 2,034.59

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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.