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Finding the Fourth Proportional to 1,851.96, 2,556.84 and 1,431.48

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Solution

The fourth proportional to 1,851.96, 2,556.84 and 1,431.48 is: 1,976.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.96 : 2,556.84 = 1,431.48 : x
  2. Step 2: Convert to fraction form
    1,851.96/2,556.84 = 1,431.48/x
  3. Step 3: Cross multiply
    1,851.96x = 2,556.84 × 1,431.48
  4. Step 4: Simplify right side
    1,851.96x = 3,660,065.32
  5. Step 5: Solve for x
    x = 3,660,065.32/1,851.96
  6. Step 6: Final answer
    x = 1,976.32

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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.