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Finding the Fourth Proportional to 1,684.89, 2,531.81 and 905.48

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Solution

The fourth proportional to 1,684.89, 2,531.81 and 905.48 is: 1,360.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.89 : 2,531.81 = 905.48 : x
  2. Step 2: Convert to fraction form
    1,684.89/2,531.81 = 905.48/x
  3. Step 3: Cross multiply
    1,684.89x = 2,531.81 × 905.48
  4. Step 4: Simplify right side
    1,684.89x = 2,292,486.13
  5. Step 5: Solve for x
    x = 2,292,486.13/1,684.89
  6. Step 6: Final answer
    x = 1,360.61

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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.