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Finding the Fourth Proportional to 2,075.79, 3,094.45 and 1,920.27

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Solution

The fourth proportional to 2,075.79, 3,094.45 and 1,920.27 is: 2,862.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.79 : 3,094.45 = 1,920.27 : x
  2. Step 2: Convert to fraction form
    2,075.79/3,094.45 = 1,920.27/x
  3. Step 3: Cross multiply
    2,075.79x = 3,094.45 × 1,920.27
  4. Step 4: Simplify right side
    2,075.79x = 5,942,174.70
  5. Step 5: Solve for x
    x = 5,942,174.70/2,075.79
  6. Step 6: Final answer
    x = 2,862.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.