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Finding the Fourth Proportional to 3,166.37, 4,749.27 and 1,411.46

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Solution

The fourth proportional to 3,166.37, 4,749.27 and 1,411.46 is: 2,117.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.37 : 4,749.27 = 1,411.46 : x
  2. Step 2: Convert to fraction form
    3,166.37/4,749.27 = 1,411.46/x
  3. Step 3: Cross multiply
    3,166.37x = 4,749.27 × 1,411.46
  4. Step 4: Simplify right side
    3,166.37x = 6,703,404.63
  5. Step 5: Solve for x
    x = 6,703,404.63/3,166.37
  6. Step 6: Final answer
    x = 2,117.06

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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.