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Finding the Fourth Proportional to 2,536.21, 3,804.00 and 1,075.71

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Solution

The fourth proportional to 2,536.21, 3,804.00 and 1,075.71 is: 1,613.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.21 : 3,804.00 = 1,075.71 : x
  2. Step 2: Convert to fraction form
    2,536.21/3,804.00 = 1,075.71/x
  3. Step 3: Cross multiply
    2,536.21x = 3,804.00 × 1,075.71
  4. Step 4: Simplify right side
    2,536.21x = 4,092,011.07
  5. Step 5: Solve for x
    x = 4,092,011.07/2,536.21
  6. Step 6: Final answer
    x = 1,613.43

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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.