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Finding the Fourth Proportional to 1,382.55, 1,901.38 and 1,099.46

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Solution

The fourth proportional to 1,382.55, 1,901.38 and 1,099.46 is: 1,512.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.55 : 1,901.38 = 1,099.46 : x
  2. Step 2: Convert to fraction form
    1,382.55/1,901.38 = 1,099.46/x
  3. Step 3: Cross multiply
    1,382.55x = 1,901.38 × 1,099.46
  4. Step 4: Simplify right side
    1,382.55x = 2,090,481.75
  5. Step 5: Solve for x
    x = 2,090,481.75/1,382.55
  6. Step 6: Final answer
    x = 1,512.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.