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Finding the Fourth Proportional to 1,693.05, 2,334.90 and 1,063.64

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Solution

The fourth proportional to 1,693.05, 2,334.90 and 1,063.64 is: 1,466.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.05 : 2,334.90 = 1,063.64 : x
  2. Step 2: Convert to fraction form
    1,693.05/2,334.90 = 1,063.64/x
  3. Step 3: Cross multiply
    1,693.05x = 2,334.90 × 1,063.64
  4. Step 4: Simplify right side
    1,693.05x = 2,483,481.36
  5. Step 5: Solve for x
    x = 2,483,481.36/1,693.05
  6. Step 6: Final answer
    x = 1,466.87

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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.