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Finding the Fourth Proportional to 1,693.16, 2,336.46 and 946.99

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Solution

The fourth proportional to 1,693.16, 2,336.46 and 946.99 is: 1,306.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.16 : 2,336.46 = 946.99 : x
  2. Step 2: Convert to fraction form
    1,693.16/2,336.46 = 946.99/x
  3. Step 3: Cross multiply
    1,693.16x = 2,336.46 × 946.99
  4. Step 4: Simplify right side
    1,693.16x = 2,212,610.65
  5. Step 5: Solve for x
    x = 2,212,610.65/1,693.16
  6. Step 6: Final answer
    x = 1,306.79

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