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Finding the Fourth Proportional to 2,709.05, 4,063.44 and 954.14

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Solution

The fourth proportional to 2,709.05, 4,063.44 and 954.14 is: 1,431.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.05 : 4,063.44 = 954.14 : x
  2. Step 2: Convert to fraction form
    2,709.05/4,063.44 = 954.14/x
  3. Step 3: Cross multiply
    2,709.05x = 4,063.44 × 954.14
  4. Step 4: Simplify right side
    2,709.05x = 3,877,090.64
  5. Step 5: Solve for x
    x = 3,877,090.64/2,709.05
  6. Step 6: Final answer
    x = 1,431.16

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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.