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Finding the Fourth Proportional to 2,768.48, 4,146.24 and 2,075.84

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Solution

The fourth proportional to 2,768.48, 4,146.24 and 2,075.84 is: 3,108.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.48 : 4,146.24 = 2,075.84 : x
  2. Step 2: Convert to fraction form
    2,768.48/4,146.24 = 2,075.84/x
  3. Step 3: Cross multiply
    2,768.48x = 4,146.24 × 2,075.84
  4. Step 4: Simplify right side
    2,768.48x = 8,606,930.84
  5. Step 5: Solve for x
    x = 8,606,930.84/2,768.48
  6. Step 6: Final answer
    x = 3,108.90

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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.