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Finding the Fourth Proportional to 2,078.23, 3,118.90 and 846.49

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Solution

The fourth proportional to 2,078.23, 3,118.90 and 846.49 is: 1,270.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.23 : 3,118.90 = 846.49 : x
  2. Step 2: Convert to fraction form
    2,078.23/3,118.90 = 846.49/x
  3. Step 3: Cross multiply
    2,078.23x = 3,118.90 × 846.49
  4. Step 4: Simplify right side
    2,078.23x = 2,640,117.66
  5. Step 5: Solve for x
    x = 2,640,117.66/2,078.23
  6. Step 6: Final answer
    x = 1,270.37

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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.