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Finding the Fourth Proportional to 2,973.84, 4,103.83 and 1,647.46

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Solution

The fourth proportional to 2,973.84, 4,103.83 and 1,647.46 is: 2,273.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.84 : 4,103.83 = 1,647.46 : x
  2. Step 2: Convert to fraction form
    2,973.84/4,103.83 = 1,647.46/x
  3. Step 3: Cross multiply
    2,973.84x = 4,103.83 × 1,647.46
  4. Step 4: Simplify right side
    2,973.84x = 6,760,902.96
  5. Step 5: Solve for x
    x = 6,760,902.96/2,973.84
  6. Step 6: Final answer
    x = 2,273.46

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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.