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Finding the Fourth Proportional to 3,075.96, 4,613.88 and 884.64

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Solution

The fourth proportional to 3,075.96, 4,613.88 and 884.64 is: 1,326.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.96 : 4,613.88 = 884.64 : x
  2. Step 2: Convert to fraction form
    3,075.96/4,613.88 = 884.64/x
  3. Step 3: Cross multiply
    3,075.96x = 4,613.88 × 884.64
  4. Step 4: Simplify right side
    3,075.96x = 4,081,622.80
  5. Step 5: Solve for x
    x = 4,081,622.80/3,075.96
  6. Step 6: Final answer
    x = 1,326.94

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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.