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Finding the Fourth Proportional to 3,075.54, 4,611.84 and 1,827.42

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Solution

The fourth proportional to 3,075.54, 4,611.84 and 1,827.42 is: 2,740.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.54 : 4,611.84 = 1,827.42 : x
  2. Step 2: Convert to fraction form
    3,075.54/4,611.84 = 1,827.42/x
  3. Step 3: Cross multiply
    3,075.54x = 4,611.84 × 1,827.42
  4. Step 4: Simplify right side
    3,075.54x = 8,427,768.65
  5. Step 5: Solve for x
    x = 8,427,768.65/3,075.54
  6. Step 6: Final answer
    x = 2,740.26

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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.