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Finding the Fourth Proportional to 2,078.31, 2,851.93 and 1,890.37

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Solution

The fourth proportional to 2,078.31, 2,851.93 and 1,890.37 is: 2,594.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.31 : 2,851.93 = 1,890.37 : x
  2. Step 2: Convert to fraction form
    2,078.31/2,851.93 = 1,890.37/x
  3. Step 3: Cross multiply
    2,078.31x = 2,851.93 × 1,890.37
  4. Step 4: Simplify right side
    2,078.31x = 5,391,208.84
  5. Step 5: Solve for x
    x = 5,391,208.84/2,078.31
  6. Step 6: Final answer
    x = 2,594.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.