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Finding the Fourth Proportional to 1,349.71, 1,861.97 and 976.09

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Solution

The fourth proportional to 1,349.71, 1,861.97 and 976.09 is: 1,346.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.71 : 1,861.97 = 976.09 : x
  2. Step 2: Convert to fraction form
    1,349.71/1,861.97 = 976.09/x
  3. Step 3: Cross multiply
    1,349.71x = 1,861.97 × 976.09
  4. Step 4: Simplify right side
    1,349.71x = 1,817,450.30
  5. Step 5: Solve for x
    x = 1,817,450.30/1,349.71
  6. Step 6: Final answer
    x = 1,346.55

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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.