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Finding the Fourth Proportional to 2,076, 3,112.44 and 842.46

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Solution

The fourth proportional to 2,076, 3,112.44 and 842.46 is: 1,263.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076 : 3,112.44 = 842.46 : x
  2. Step 2: Convert to fraction form
    2,076/3,112.44 = 842.46/x
  3. Step 3: Cross multiply
    2,076x = 3,112.44 × 842.46
  4. Step 4: Simplify right side
    2,076x = 2,622,106.20
  5. Step 5: Solve for x
    x = 2,622,106.20/2,076
  6. Step 6: Final answer
    x = 1,263.06

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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.