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Finding the Fourth Proportional to 1,336.09, 2,004.13 and 362.19

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Solution

The fourth proportional to 1,336.09, 2,004.13 and 362.19 is: 543.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.09 : 2,004.13 = 362.19 : x
  2. Step 2: Convert to fraction form
    1,336.09/2,004.13 = 362.19/x
  3. Step 3: Cross multiply
    1,336.09x = 2,004.13 × 362.19
  4. Step 4: Simplify right side
    1,336.09x = 725,869.64
  5. Step 5: Solve for x
    x = 725,869.64/1,336.09
  6. Step 6: Final answer
    x = 543.28

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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.