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Finding the Fourth Proportional to 3,131.34, 4,696.23 and 1,051.29

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Solution

The fourth proportional to 3,131.34, 4,696.23 and 1,051.29 is: 1,576.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.34 : 4,696.23 = 1,051.29 : x
  2. Step 2: Convert to fraction form
    3,131.34/4,696.23 = 1,051.29/x
  3. Step 3: Cross multiply
    3,131.34x = 4,696.23 × 1,051.29
  4. Step 4: Simplify right side
    3,131.34x = 4,937,099.64
  5. Step 5: Solve for x
    x = 4,937,099.64/3,131.34
  6. Step 6: Final answer
    x = 1,576.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.