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Finding the Fourth Proportional to 1,383.78, 2,075.26 and 1,139.70

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Solution

The fourth proportional to 1,383.78, 2,075.26 and 1,139.70 is: 1,709.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.78 : 2,075.26 = 1,139.70 : x
  2. Step 2: Convert to fraction form
    1,383.78/2,075.26 = 1,139.70/x
  3. Step 3: Cross multiply
    1,383.78x = 2,075.26 × 1,139.70
  4. Step 4: Simplify right side
    1,383.78x = 2,365,165.33
  5. Step 5: Solve for x
    x = 2,365,165.33/1,383.78
  6. Step 6: Final answer
    x = 1,709.21

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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.