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Finding the Fourth Proportional to 2,379.64, 3,569.80 and 736.33

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Solution

The fourth proportional to 2,379.64, 3,569.80 and 736.33 is: 1,104.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.64 : 3,569.80 = 736.33 : x
  2. Step 2: Convert to fraction form
    2,379.64/3,569.80 = 736.33/x
  3. Step 3: Cross multiply
    2,379.64x = 3,569.80 × 736.33
  4. Step 4: Simplify right side
    2,379.64x = 2,628,529.30
  5. Step 5: Solve for x
    x = 2,628,529.30/2,379.64
  6. Step 6: Final answer
    x = 1,104.59

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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.