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Finding the Fourth Proportional to 1,973.84, 2,961.52 and 674.56

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Solution

The fourth proportional to 1,973.84, 2,961.52 and 674.56 is: 1,012.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.84 : 2,961.52 = 674.56 : x
  2. Step 2: Convert to fraction form
    1,973.84/2,961.52 = 674.56/x
  3. Step 3: Cross multiply
    1,973.84x = 2,961.52 × 674.56
  4. Step 4: Simplify right side
    1,973.84x = 1,997,722.93
  5. Step 5: Solve for x
    x = 1,997,722.93/1,973.84
  6. Step 6: Final answer
    x = 1,012.10

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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.