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Finding the Fourth Proportional to 2,048.81, 3,075.64 and 2,040.71

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Solution

The fourth proportional to 2,048.81, 3,075.64 and 2,040.71 is: 3,063.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.81 : 3,075.64 = 2,040.71 : x
  2. Step 2: Convert to fraction form
    2,048.81/3,075.64 = 2,040.71/x
  3. Step 3: Cross multiply
    2,048.81x = 3,075.64 × 2,040.71
  4. Step 4: Simplify right side
    2,048.81x = 6,276,468.82
  5. Step 5: Solve for x
    x = 6,276,468.82/2,048.81
  6. Step 6: Final answer
    x = 3,063.48

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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.