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Finding the Fourth Proportional to 2,075.76, 2,864.26 and 1,144.28

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Solution

The fourth proportional to 2,075.76, 2,864.26 and 1,144.28 is: 1,578.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.76 : 2,864.26 = 1,144.28 : x
  2. Step 2: Convert to fraction form
    2,075.76/2,864.26 = 1,144.28/x
  3. Step 3: Cross multiply
    2,075.76x = 2,864.26 × 1,144.28
  4. Step 4: Simplify right side
    2,075.76x = 3,277,515.43
  5. Step 5: Solve for x
    x = 3,277,515.43/2,075.76
  6. Step 6: Final answer
    x = 1,578.95

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