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Finding the Fourth Proportional to 3,075.96, 4,614.76 and 884.82

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Solution

The fourth proportional to 3,075.96, 4,614.76 and 884.82 is: 1,327.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.96 : 4,614.76 = 884.82 : x
  2. Step 2: Convert to fraction form
    3,075.96/4,614.76 = 884.82/x
  3. Step 3: Cross multiply
    3,075.96x = 4,614.76 × 884.82
  4. Step 4: Simplify right side
    3,075.96x = 4,083,231.94
  5. Step 5: Solve for x
    x = 4,083,231.94/3,075.96
  6. Step 6: Final answer
    x = 1,327.47

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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.