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Finding the Fourth Proportional to 2,556.36, 3,544.05 and 2,466.25

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Solution

The fourth proportional to 2,556.36, 3,544.05 and 2,466.25 is: 3,419.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.36 : 3,544.05 = 2,466.25 : x
  2. Step 2: Convert to fraction form
    2,556.36/3,544.05 = 2,466.25/x
  3. Step 3: Cross multiply
    2,556.36x = 3,544.05 × 2,466.25
  4. Step 4: Simplify right side
    2,556.36x = 8,740,513.70
  5. Step 5: Solve for x
    x = 8,740,513.70/2,556.36
  6. Step 6: Final answer
    x = 3,419.12

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.