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Finding the Fourth Proportional to 2,523.69, 3,783.11 and 1,596.42

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Solution

The fourth proportional to 2,523.69, 3,783.11 and 1,596.42 is: 2,393.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.69 : 3,783.11 = 1,596.42 : x
  2. Step 2: Convert to fraction form
    2,523.69/3,783.11 = 1,596.42/x
  3. Step 3: Cross multiply
    2,523.69x = 3,783.11 × 1,596.42
  4. Step 4: Simplify right side
    2,523.69x = 6,039,424.48
  5. Step 5: Solve for x
    x = 6,039,424.48/2,523.69
  6. Step 6: Final answer
    x = 2,393.09

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1.5x scale

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.