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Finding the Fourth Proportional to 1,907.99, 2,863.08 and 1,030.49

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Solution

The fourth proportional to 1,907.99, 2,863.08 and 1,030.49 is: 1,546.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.99 : 2,863.08 = 1,030.49 : x
  2. Step 2: Convert to fraction form
    1,907.99/2,863.08 = 1,030.49/x
  3. Step 3: Cross multiply
    1,907.99x = 2,863.08 × 1,030.49
  4. Step 4: Simplify right side
    1,907.99x = 2,950,375.31
  5. Step 5: Solve for x
    x = 2,950,375.31/1,907.99
  6. Step 6: Final answer
    x = 1,546.33

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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.