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Finding the Fourth Proportional to 1,990.77, 2,986.27 and 604.12

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Solution

The fourth proportional to 1,990.77, 2,986.27 and 604.12 is: 906.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.77 : 2,986.27 = 604.12 : x
  2. Step 2: Convert to fraction form
    1,990.77/2,986.27 = 604.12/x
  3. Step 3: Cross multiply
    1,990.77x = 2,986.27 × 604.12
  4. Step 4: Simplify right side
    1,990.77x = 1,804,050.50
  5. Step 5: Solve for x
    x = 1,804,050.50/1,990.77
  6. Step 6: Final answer
    x = 906.21

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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.