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Finding the Fourth Proportional to 2,075.94, 2,864.79 and 1,144.44

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Solution

The fourth proportional to 2,075.94, 2,864.79 and 1,144.44 is: 1,579.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.94 : 2,864.79 = 1,144.44 : x
  2. Step 2: Convert to fraction form
    2,075.94/2,864.79 = 1,144.44/x
  3. Step 3: Cross multiply
    2,075.94x = 2,864.79 × 1,144.44
  4. Step 4: Simplify right side
    2,075.94x = 3,278,580.27
  5. Step 5: Solve for x
    x = 3,278,580.27/2,075.94
  6. Step 6: Final answer
    x = 1,579.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.