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Finding the Fourth Proportional to 2,556.67, 3,835.02 and 1,690.78

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Solution

The fourth proportional to 2,556.67, 3,835.02 and 1,690.78 is: 2,536.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.67 : 3,835.02 = 1,690.78 : x
  2. Step 2: Convert to fraction form
    2,556.67/3,835.02 = 1,690.78/x
  3. Step 3: Cross multiply
    2,556.67x = 3,835.02 × 1,690.78
  4. Step 4: Simplify right side
    2,556.67x = 6,484,175.12
  5. Step 5: Solve for x
    x = 6,484,175.12/2,556.67
  6. Step 6: Final answer
    x = 2,536.18

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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.