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Finding the Fourth Proportional to 3,069.39, 4,234.17 and 2,075.02

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Solution

The fourth proportional to 3,069.39, 4,234.17 and 2,075.02 is: 2,862.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.39 : 4,234.17 = 2,075.02 : x
  2. Step 2: Convert to fraction form
    3,069.39/4,234.17 = 2,075.02/x
  3. Step 3: Cross multiply
    3,069.39x = 4,234.17 × 2,075.02
  4. Step 4: Simplify right side
    3,069.39x = 8,785,984.63
  5. Step 5: Solve for x
    x = 8,785,984.63/3,069.39
  6. Step 6: Final answer
    x = 2,862.45

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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.