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Finding the Fourth Proportional to 3,166.48, 4,749.24 and 1,114

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Solution

The fourth proportional to 3,166.48, 4,749.24 and 1,114 is: 1,670.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.48 : 4,749.24 = 1,114 : x
  2. Step 2: Convert to fraction form
    3,166.48/4,749.24 = 1,114/x
  3. Step 3: Cross multiply
    3,166.48x = 4,749.24 × 1,114
  4. Step 4: Simplify right side
    3,166.48x = 5,290,653.36
  5. Step 5: Solve for x
    x = 5,290,653.36/3,166.48
  6. Step 6: Final answer
    x = 1,670.83

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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.