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Finding the Fourth Proportional to 1,683.66, 2,523.60 and 757.83

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Solution

The fourth proportional to 1,683.66, 2,523.60 and 757.83 is: 1,135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.66 : 2,523.60 = 757.83 : x
  2. Step 2: Convert to fraction form
    1,683.66/2,523.60 = 757.83/x
  3. Step 3: Cross multiply
    1,683.66x = 2,523.60 × 757.83
  4. Step 4: Simplify right side
    1,683.66x = 1,912,459.79
  5. Step 5: Solve for x
    x = 1,912,459.79/1,683.66
  6. Step 6: Final answer
    x = 1,135.89

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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.