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Finding the Fourth Proportional to 1,382.74, 1,901.64 and 1,099.65

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Solution

The fourth proportional to 1,382.74, 1,901.64 and 1,099.65 is: 1,512.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.74 : 1,901.64 = 1,099.65 : x
  2. Step 2: Convert to fraction form
    1,382.74/1,901.64 = 1,099.65/x
  3. Step 3: Cross multiply
    1,382.74x = 1,901.64 × 1,099.65
  4. Step 4: Simplify right side
    1,382.74x = 2,091,128.92
  5. Step 5: Solve for x
    x = 2,091,128.92/1,382.74
  6. Step 6: Final answer
    x = 1,512.31

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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.