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Finding the Fourth Proportional to 2,973.84, 4,102.02 and 1,794.62

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Solution

The fourth proportional to 2,973.84, 4,102.02 and 1,794.62 is: 2,475.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.84 : 4,102.02 = 1,794.62 : x
  2. Step 2: Convert to fraction form
    2,973.84/4,102.02 = 1,794.62/x
  3. Step 3: Cross multiply
    2,973.84x = 4,102.02 × 1,794.62
  4. Step 4: Simplify right side
    2,973.84x = 7,361,546.62
  5. Step 5: Solve for x
    x = 7,361,546.62/2,973.84
  6. Step 6: Final answer
    x = 2,475.43

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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.