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Finding the Fourth Proportional to 2,556.74, 3,835.92 and 913.25

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Solution

The fourth proportional to 2,556.74, 3,835.92 and 913.25 is: 1,370.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.74 : 3,835.92 = 913.25 : x
  2. Step 2: Convert to fraction form
    2,556.74/3,835.92 = 913.25/x
  3. Step 3: Cross multiply
    2,556.74x = 3,835.92 × 913.25
  4. Step 4: Simplify right side
    2,556.74x = 3,503,153.94
  5. Step 5: Solve for x
    x = 3,503,153.94/2,556.74
  6. Step 6: Final answer
    x = 1,370.16

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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.