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Finding the Fourth Proportional to 1,693.14, 2,336.46 and 947.10

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Solution

The fourth proportional to 1,693.14, 2,336.46 and 947.10 is: 1,306.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.14 : 2,336.46 = 947.10 : x
  2. Step 2: Convert to fraction form
    1,693.14/2,336.46 = 947.10/x
  3. Step 3: Cross multiply
    1,693.14x = 2,336.46 × 947.10
  4. Step 4: Simplify right side
    1,693.14x = 2,212,861.27
  5. Step 5: Solve for x
    x = 2,212,861.27/1,693.14
  6. Step 6: Final answer
    x = 1,306.96

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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.