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Finding the Fourth Proportional to 2,069.13, 2,855.16 and 1,184.88

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Solution

The fourth proportional to 2,069.13, 2,855.16 and 1,184.88 is: 1,635.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.13 : 2,855.16 = 1,184.88 : x
  2. Step 2: Convert to fraction form
    2,069.13/2,855.16 = 1,184.88/x
  3. Step 3: Cross multiply
    2,069.13x = 2,855.16 × 1,184.88
  4. Step 4: Simplify right side
    2,069.13x = 3,383,021.98
  5. Step 5: Solve for x
    x = 3,383,021.98/2,069.13
  6. Step 6: Final answer
    x = 1,635.00

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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.