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Finding the Fourth Proportional to 1,693.67, 2,538.14 and 766.96

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Solution

The fourth proportional to 1,693.67, 2,538.14 and 766.96 is: 1,149.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.67 : 2,538.14 = 766.96 : x
  2. Step 2: Convert to fraction form
    1,693.67/2,538.14 = 766.96/x
  3. Step 3: Cross multiply
    1,693.67x = 2,538.14 × 766.96
  4. Step 4: Simplify right side
    1,693.67x = 1,946,641.67
  5. Step 5: Solve for x
    x = 1,946,641.67/1,693.67
  6. Step 6: Final answer
    x = 1,149.37

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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.