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Finding the Fourth Proportional to 1,900.07, 2,850.14 and 513.41

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Solution

The fourth proportional to 1,900.07, 2,850.14 and 513.41 is: 770.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.07 : 2,850.14 = 513.41 : x
  2. Step 2: Convert to fraction form
    1,900.07/2,850.14 = 513.41/x
  3. Step 3: Cross multiply
    1,900.07x = 2,850.14 × 513.41
  4. Step 4: Simplify right side
    1,900.07x = 1,463,287.81
  5. Step 5: Solve for x
    x = 1,463,287.81/1,900.07
  6. Step 6: Final answer
    x = 770.12

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Why These Related Problems?

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