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Finding the Fourth Proportional to 3,075.14, 4,613.50 and 884.04

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Solution

The fourth proportional to 3,075.14, 4,613.50 and 884.04 is: 1,326.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.14 : 4,613.50 = 884.04 : x
  2. Step 2: Convert to fraction form
    3,075.14/4,613.50 = 884.04/x
  3. Step 3: Cross multiply
    3,075.14x = 4,613.50 × 884.04
  4. Step 4: Simplify right side
    3,075.14x = 4,078,518.54
  5. Step 5: Solve for x
    x = 4,078,518.54/3,075.14
  6. Step 6: Final answer
    x = 1,326.29

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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.