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Finding the Fourth Proportional to 3,075.77, 4,613.96 and 884.82

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Solution

The fourth proportional to 3,075.77, 4,613.96 and 884.82 is: 1,327.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.77 : 4,613.96 = 884.82 : x
  2. Step 2: Convert to fraction form
    3,075.77/4,613.96 = 884.82/x
  3. Step 3: Cross multiply
    3,075.77x = 4,613.96 × 884.82
  4. Step 4: Simplify right side
    3,075.77x = 4,082,519.66
  5. Step 5: Solve for x
    x = 4,082,519.66/3,075.77
  6. Step 6: Final answer
    x = 1,327.32

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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.