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Finding the Fourth Proportional to 2,089.32, 2,883.12 and 1,204.44

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Solution

The fourth proportional to 2,089.32, 2,883.12 and 1,204.44 is: 1,662.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.32 : 2,883.12 = 1,204.44 : x
  2. Step 2: Convert to fraction form
    2,089.32/2,883.12 = 1,204.44/x
  3. Step 3: Cross multiply
    2,089.32x = 2,883.12 × 1,204.44
  4. Step 4: Simplify right side
    2,089.32x = 3,472,545.05
  5. Step 5: Solve for x
    x = 3,472,545.05/2,089.32
  6. Step 6: Final answer
    x = 1,662.05

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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.