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Finding the Fourth Proportional to 2,951.80, 4,075.14 and 2,321.08

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Solution

The fourth proportional to 2,951.80, 4,075.14 and 2,321.08 is: 3,204.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.80 : 4,075.14 = 2,321.08 : x
  2. Step 2: Convert to fraction form
    2,951.80/4,075.14 = 2,321.08/x
  3. Step 3: Cross multiply
    2,951.80x = 4,075.14 × 2,321.08
  4. Step 4: Simplify right side
    2,951.80x = 9,458,725.95
  5. Step 5: Solve for x
    x = 9,458,725.95/2,951.80
  6. Step 6: Final answer
    x = 3,204.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.