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Finding the Fourth Proportional to 1,693.12, 2,334.96 and 1,063.72

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Solution

The fourth proportional to 1,693.12, 2,334.96 and 1,063.72 is: 1,466.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.12 : 2,334.96 = 1,063.72 : x
  2. Step 2: Convert to fraction form
    1,693.12/2,334.96 = 1,063.72/x
  3. Step 3: Cross multiply
    1,693.12x = 2,334.96 × 1,063.72
  4. Step 4: Simplify right side
    1,693.12x = 2,483,743.65
  5. Step 5: Solve for x
    x = 2,483,743.65/1,693.12
  6. Step 6: Final answer
    x = 1,466.96

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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.