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Finding the Fourth Proportional to 1,609.08, 2,412.23 and 622.58

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Solution

The fourth proportional to 1,609.08, 2,412.23 and 622.58 is: 933.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.08 : 2,412.23 = 622.58 : x
  2. Step 2: Convert to fraction form
    1,609.08/2,412.23 = 622.58/x
  3. Step 3: Cross multiply
    1,609.08x = 2,412.23 × 622.58
  4. Step 4: Simplify right side
    1,609.08x = 1,501,804.55
  5. Step 5: Solve for x
    x = 1,501,804.55/1,609.08
  6. Step 6: Final answer
    x = 933.33

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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.