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Finding the Fourth Proportional to 2,703.84, 3,725.73 and 2,074.38

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Solution

The fourth proportional to 2,703.84, 3,725.73 and 2,074.38 is: 2,858.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.84 : 3,725.73 = 2,074.38 : x
  2. Step 2: Convert to fraction form
    2,703.84/3,725.73 = 2,074.38/x
  3. Step 3: Cross multiply
    2,703.84x = 3,725.73 × 2,074.38
  4. Step 4: Simplify right side
    2,703.84x = 7,728,579.80
  5. Step 5: Solve for x
    x = 7,728,579.80/2,703.84
  6. Step 6: Final answer
    x = 2,858.37

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1.5x scale

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.