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Finding the Fourth Proportional to 1,609.94, 2,415.05 and 439.94

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Solution

The fourth proportional to 1,609.94, 2,415.05 and 439.94 is: 659.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.94 : 2,415.05 = 439.94 : x
  2. Step 2: Convert to fraction form
    1,609.94/2,415.05 = 439.94/x
  3. Step 3: Cross multiply
    1,609.94x = 2,415.05 × 439.94
  4. Step 4: Simplify right side
    1,609.94x = 1,062,462.82
  5. Step 5: Solve for x
    x = 1,062,462.82/1,609.94
  6. Step 6: Final answer
    x = 659.94

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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.