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Finding the Fourth Proportional to 3,110.81, 4,292.87 and 1,852.47

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Solution

The fourth proportional to 3,110.81, 4,292.87 and 1,852.47 is: 2,556.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110.81 : 4,292.87 = 1,852.47 : x
  2. Step 2: Convert to fraction form
    3,110.81/4,292.87 = 1,852.47/x
  3. Step 3: Cross multiply
    3,110.81x = 4,292.87 × 1,852.47
  4. Step 4: Simplify right side
    3,110.81x = 7,952,403.63
  5. Step 5: Solve for x
    x = 7,952,403.63/3,110.81
  6. Step 6: Final answer
    x = 2,556.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.