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Finding the Fourth Proportional to 3,166.16, 4,749.22 and 1,706

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Solution

The fourth proportional to 3,166.16, 4,749.22 and 1,706 is: 2,558.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.16 : 4,749.22 = 1,706 : x
  2. Step 2: Convert to fraction form
    3,166.16/4,749.22 = 1,706/x
  3. Step 3: Cross multiply
    3,166.16x = 4,749.22 × 1,706
  4. Step 4: Simplify right side
    3,166.16x = 8,102,169.32
  5. Step 5: Solve for x
    x = 8,102,169.32/3,166.16
  6. Step 6: Final answer
    x = 2,558.99

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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.