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Finding the Fourth Proportional to 1,604.21, 2,409.06 and 991.55

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Solution

The fourth proportional to 1,604.21, 2,409.06 and 991.55 is: 1,489.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.21 : 2,409.06 = 991.55 : x
  2. Step 2: Convert to fraction form
    1,604.21/2,409.06 = 991.55/x
  3. Step 3: Cross multiply
    1,604.21x = 2,409.06 × 991.55
  4. Step 4: Simplify right side
    1,604.21x = 2,388,703.44
  5. Step 5: Solve for x
    x = 2,388,703.44/1,604.21
  6. Step 6: Final answer
    x = 1,489.02

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