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Finding the Fourth Proportional to 2,501.14, 3,451.62 and 1,382.14

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Solution

The fourth proportional to 2,501.14, 3,451.62 and 1,382.14 is: 1,907.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501.14 : 3,451.62 = 1,382.14 : x
  2. Step 2: Convert to fraction form
    2,501.14/3,451.62 = 1,382.14/x
  3. Step 3: Cross multiply
    2,501.14x = 3,451.62 × 1,382.14
  4. Step 4: Simplify right side
    2,501.14x = 4,770,622.07
  5. Step 5: Solve for x
    x = 4,770,622.07/2,501.14
  6. Step 6: Final answer
    x = 1,907.38

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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.