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Finding the Fourth Proportional to 1,609.35, 2,409.93 and 1,348.66

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Solution

The fourth proportional to 1,609.35, 2,409.93 and 1,348.66 is: 2,019.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.35 : 2,409.93 = 1,348.66 : x
  2. Step 2: Convert to fraction form
    1,609.35/2,409.93 = 1,348.66/x
  3. Step 3: Cross multiply
    1,609.35x = 2,409.93 × 1,348.66
  4. Step 4: Simplify right side
    1,609.35x = 3,250,176.19
  5. Step 5: Solve for x
    x = 3,250,176.19/1,609.35
  6. Step 6: Final answer
    x = 2,019.56

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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.