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Finding the Fourth Proportional to 3,166.13, 4,749.20 and 1,114.13

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Solution

The fourth proportional to 3,166.13, 4,749.20 and 1,114.13 is: 1,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.13 : 4,749.20 = 1,114.13 : x
  2. Step 2: Convert to fraction form
    3,166.13/4,749.20 = 1,114.13/x
  3. Step 3: Cross multiply
    3,166.13x = 4,749.20 × 1,114.13
  4. Step 4: Simplify right side
    3,166.13x = 5,291,226.20
  5. Step 5: Solve for x
    x = 5,291,226.20/3,166.13
  6. Step 6: Final answer
    x = 1,671.20

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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.