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Finding the Fourth Proportional to 2,556.90, 3,834.81 and 913.55

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Solution

The fourth proportional to 2,556.90, 3,834.81 and 913.55 is: 1,370.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.90 : 3,834.81 = 913.55 : x
  2. Step 2: Convert to fraction form
    2,556.90/3,834.81 = 913.55/x
  3. Step 3: Cross multiply
    2,556.90x = 3,834.81 × 913.55
  4. Step 4: Simplify right side
    2,556.90x = 3,503,271.50
  5. Step 5: Solve for x
    x = 3,503,271.50/2,556.90
  6. Step 6: Final answer
    x = 1,370.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.