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Finding the Fourth Proportional to 2,069.84, 2,855.48 and 1,185.44

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Solution

The fourth proportional to 2,069.84, 2,855.48 and 1,185.44 is: 1,635.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.84 : 2,855.48 = 1,185.44 : x
  2. Step 2: Convert to fraction form
    2,069.84/2,855.48 = 1,185.44/x
  3. Step 3: Cross multiply
    2,069.84x = 2,855.48 × 1,185.44
  4. Step 4: Simplify right side
    2,069.84x = 3,385,000.21
  5. Step 5: Solve for x
    x = 3,385,000.21/2,069.84
  6. Step 6: Final answer
    x = 1,635.39

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1.5x scale

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.