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Finding the Fourth Proportional to 1,706.68, 2,349.53 and 1,628.31

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Solution

The fourth proportional to 1,706.68, 2,349.53 and 1,628.31 is: 2,241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.68 : 2,349.53 = 1,628.31 : x
  2. Step 2: Convert to fraction form
    1,706.68/2,349.53 = 1,628.31/x
  3. Step 3: Cross multiply
    1,706.68x = 2,349.53 × 1,628.31
  4. Step 4: Simplify right side
    1,706.68x = 3,825,755.05
  5. Step 5: Solve for x
    x = 3,825,755.05/1,706.68
  6. Step 6: Final answer
    x = 2,241.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.