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Finding the Fourth Proportional to 1,684.67, 2,524.62 and 757.93

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Solution

The fourth proportional to 1,684.67, 2,524.62 and 757.93 is: 1,135.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.67 : 2,524.62 = 757.93 : x
  2. Step 2: Convert to fraction form
    1,684.67/2,524.62 = 757.93/x
  3. Step 3: Cross multiply
    1,684.67x = 2,524.62 × 757.93
  4. Step 4: Simplify right side
    1,684.67x = 1,913,489.34
  5. Step 5: Solve for x
    x = 1,913,489.34/1,684.67
  6. Step 6: Final answer
    x = 1,135.82

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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.