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Finding the Fourth Proportional to 2,364.09, 3,546.09 and 1,064.64

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Solution

The fourth proportional to 2,364.09, 3,546.09 and 1,064.64 is: 1,596.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.09 : 3,546.09 = 1,064.64 : x
  2. Step 2: Convert to fraction form
    2,364.09/3,546.09 = 1,064.64/x
  3. Step 3: Cross multiply
    2,364.09x = 3,546.09 × 1,064.64
  4. Step 4: Simplify right side
    2,364.09x = 3,775,309.26
  5. Step 5: Solve for x
    x = 3,775,309.26/2,364.09
  6. Step 6: Final answer
    x = 1,596.94

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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.