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Finding the Fourth Proportional to 3,075.27, 4,613.20 and 884.32

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Solution

The fourth proportional to 3,075.27, 4,613.20 and 884.32 is: 1,326.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.27 : 4,613.20 = 884.32 : x
  2. Step 2: Convert to fraction form
    3,075.27/4,613.20 = 884.32/x
  3. Step 3: Cross multiply
    3,075.27x = 4,613.20 × 884.32
  4. Step 4: Simplify right side
    3,075.27x = 4,079,545.02
  5. Step 5: Solve for x
    x = 4,079,545.02/3,075.27
  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.