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Finding the Fourth Proportional to 3,075.68, 4,614.21 and 884.24

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Solution

The fourth proportional to 3,075.68, 4,614.21 and 884.24 is: 1,326.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.68 : 4,614.21 = 884.24 : x
  2. Step 2: Convert to fraction form
    3,075.68/4,614.21 = 884.24/x
  3. Step 3: Cross multiply
    3,075.68x = 4,614.21 × 884.24
  4. Step 4: Simplify right side
    3,075.68x = 4,080,069.05
  5. Step 5: Solve for x
    x = 4,080,069.05/3,075.68
  6. Step 6: Final answer
    x = 1,326.56

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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.