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Finding the Fourth Proportional to 3,431.09, 5,145.84 and 966.15

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Solution

The fourth proportional to 3,431.09, 5,145.84 and 966.15 is: 1,449.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.09 : 5,145.84 = 966.15 : x
  2. Step 2: Convert to fraction form
    3,431.09/5,145.84 = 966.15/x
  3. Step 3: Cross multiply
    3,431.09x = 5,145.84 × 966.15
  4. Step 4: Simplify right side
    3,431.09x = 4,971,653.32
  5. Step 5: Solve for x
    x = 4,971,653.32/3,431.09
  6. Step 6: Final answer
    x = 1,449.00

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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.