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Finding the Fourth Proportional to 1,693.15, 2,336.38 and 947.05

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Solution

The fourth proportional to 1,693.15, 2,336.38 and 947.05 is: 1,306.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.15 : 2,336.38 = 947.05 : x
  2. Step 2: Convert to fraction form
    1,693.15/2,336.38 = 947.05/x
  3. Step 3: Cross multiply
    1,693.15x = 2,336.38 × 947.05
  4. Step 4: Simplify right side
    1,693.15x = 2,212,660.47
  5. Step 5: Solve for x
    x = 2,212,660.47/1,693.15
  6. Step 6: Final answer
    x = 1,306.83

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Why These Related Problems?

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