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Finding the Fourth Proportional to 2,990.91, 4,486.55 and 911.06

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Solution

The fourth proportional to 2,990.91, 4,486.55 and 911.06 is: 1,366.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.91 : 4,486.55 = 911.06 : x
  2. Step 2: Convert to fraction form
    2,990.91/4,486.55 = 911.06/x
  3. Step 3: Cross multiply
    2,990.91x = 4,486.55 × 911.06
  4. Step 4: Simplify right side
    2,990.91x = 4,087,489.25
  5. Step 5: Solve for x
    x = 4,087,489.25/2,990.91
  6. Step 6: Final answer
    x = 1,366.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.