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Finding the Fourth Proportional to 1,336.26, 2,004.27 and 362.40

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Solution

The fourth proportional to 1,336.26, 2,004.27 and 362.40 is: 543.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.26 : 2,004.27 = 362.40 : x
  2. Step 2: Convert to fraction form
    1,336.26/2,004.27 = 362.40/x
  3. Step 3: Cross multiply
    1,336.26x = 2,004.27 × 362.40
  4. Step 4: Simplify right side
    1,336.26x = 726,347.45
  5. Step 5: Solve for x
    x = 726,347.45/1,336.26
  6. Step 6: Final answer
    x = 543.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.