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Finding the Fourth Proportional to 3,076.94, 4,608.05 and 1,774.46

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Solution

The fourth proportional to 3,076.94, 4,608.05 and 1,774.46 is: 2,657.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.94 : 4,608.05 = 1,774.46 : x
  2. Step 2: Convert to fraction form
    3,076.94/4,608.05 = 1,774.46/x
  3. Step 3: Cross multiply
    3,076.94x = 4,608.05 × 1,774.46
  4. Step 4: Simplify right side
    3,076.94x = 8,176,768.49
  5. Step 5: Solve for x
    x = 8,176,768.49/3,076.94
  6. Step 6: Final answer
    x = 2,657.44

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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.