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Finding the Fourth Proportional to 2,556.68, 3,836.49 and 1,075.78

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Solution

The fourth proportional to 2,556.68, 3,836.49 and 1,075.78 is: 1,614.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.68 : 3,836.49 = 1,075.78 : x
  2. Step 2: Convert to fraction form
    2,556.68/3,836.49 = 1,075.78/x
  3. Step 3: Cross multiply
    2,556.68x = 3,836.49 × 1,075.78
  4. Step 4: Simplify right side
    2,556.68x = 4,127,219.21
  5. Step 5: Solve for x
    x = 4,127,219.21/2,556.68
  6. Step 6: Final answer
    x = 1,614.29

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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.