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Finding the Fourth Proportional to 3,431.09, 4,733.16 and 2,170.02

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Solution

The fourth proportional to 3,431.09, 4,733.16 and 2,170.02 is: 2,993.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.09 : 4,733.16 = 2,170.02 : x
  2. Step 2: Convert to fraction form
    3,431.09/4,733.16 = 2,170.02/x
  3. Step 3: Cross multiply
    3,431.09x = 4,733.16 × 2,170.02
  4. Step 4: Simplify right side
    3,431.09x = 10,271,051.86
  5. Step 5: Solve for x
    x = 10,271,051.86/3,431.09
  6. Step 6: Final answer
    x = 2,993.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.