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Finding the Fourth Proportional to 3,075.90, 4,613.24 and 884.12

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Solution

The fourth proportional to 3,075.90, 4,613.24 and 884.12 is: 1,326.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.90 : 4,613.24 = 884.12 : x
  2. Step 2: Convert to fraction form
    3,075.90/4,613.24 = 884.12/x
  3. Step 3: Cross multiply
    3,075.90x = 4,613.24 × 884.12
  4. Step 4: Simplify right side
    3,075.90x = 4,078,630.26
  5. Step 5: Solve for x
    x = 4,078,630.26/3,075.90
  6. Step 6: Final answer
    x = 1,326.00

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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.