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Finding the Fourth Proportional to 1,639.56, 2,459.37 and 406.98

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Solution

The fourth proportional to 1,639.56, 2,459.37 and 406.98 is: 610.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.56 : 2,459.37 = 406.98 : x
  2. Step 2: Convert to fraction form
    1,639.56/2,459.37 = 406.98/x
  3. Step 3: Cross multiply
    1,639.56x = 2,459.37 × 406.98
  4. Step 4: Simplify right side
    1,639.56x = 1,000,914.40
  5. Step 5: Solve for x
    x = 1,000,914.40/1,639.56
  6. Step 6: Final answer
    x = 610.48

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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.