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Finding the Fourth Proportional to 1,907.70, 2,862.09 and 1,128.39

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Solution

The fourth proportional to 1,907.70, 2,862.09 and 1,128.39 is: 1,692.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.70 : 2,862.09 = 1,128.39 : x
  2. Step 2: Convert to fraction form
    1,907.70/2,862.09 = 1,128.39/x
  3. Step 3: Cross multiply
    1,907.70x = 2,862.09 × 1,128.39
  4. Step 4: Simplify right side
    1,907.70x = 3,229,553.74
  5. Step 5: Solve for x
    x = 3,229,553.74/1,907.70
  6. Step 6: Final answer
    x = 1,692.90

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