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Finding the Fourth Proportional to 1,383.90, 2,075.84 and 1,139.91

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Solution

The fourth proportional to 1,383.90, 2,075.84 and 1,139.91 is: 1,709.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.90 : 2,075.84 = 1,139.91 : x
  2. Step 2: Convert to fraction form
    1,383.90/2,075.84 = 1,139.91/x
  3. Step 3: Cross multiply
    1,383.90x = 2,075.84 × 1,139.91
  4. Step 4: Simplify right side
    1,383.90x = 2,366,270.77
  5. Step 5: Solve for x
    x = 2,366,270.77/1,383.90
  6. Step 6: Final answer
    x = 1,709.86

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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.