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Finding the Fourth Proportional to 2,048.94, 3,075.03 and 1,076.94

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Solution

The fourth proportional to 2,048.94, 3,075.03 and 1,076.94 is: 1,616.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.94 : 3,075.03 = 1,076.94 : x
  2. Step 2: Convert to fraction form
    2,048.94/3,075.03 = 1,076.94/x
  3. Step 3: Cross multiply
    2,048.94x = 3,075.03 × 1,076.94
  4. Step 4: Simplify right side
    2,048.94x = 3,311,622.81
  5. Step 5: Solve for x
    x = 3,311,622.81/2,048.94
  6. Step 6: Final answer
    x = 1,616.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.