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Finding the Fourth Proportional to 3,166.56, 4,749.06 and 1,434.84

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Solution

The fourth proportional to 3,166.56, 4,749.06 and 1,434.84 is: 2,151.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.56 : 4,749.06 = 1,434.84 : x
  2. Step 2: Convert to fraction form
    3,166.56/4,749.06 = 1,434.84/x
  3. Step 3: Cross multiply
    3,166.56x = 4,749.06 × 1,434.84
  4. Step 4: Simplify right side
    3,166.56x = 6,814,141.25
  5. Step 5: Solve for x
    x = 6,814,141.25/3,166.56
  6. Step 6: Final answer
    x = 2,151.91

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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.