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Finding the Fourth Proportional to 2,089.12, 2,883.12 and 1,204.92

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Solution

The fourth proportional to 2,089.12, 2,883.12 and 1,204.92 is: 1,662.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.12 : 2,883.12 = 1,204.92 : x
  2. Step 2: Convert to fraction form
    2,089.12/2,883.12 = 1,204.92/x
  3. Step 3: Cross multiply
    2,089.12x = 2,883.12 × 1,204.92
  4. Step 4: Simplify right side
    2,089.12x = 3,473,928.95
  5. Step 5: Solve for x
    x = 3,473,928.95/2,089.12
  6. Step 6: Final answer
    x = 1,662.87

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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.