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Finding the Fourth Proportional to 2,130.56, 2,942.28 and 1,469.12

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Solution

The fourth proportional to 2,130.56, 2,942.28 and 1,469.12 is: 2,028.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.56 : 2,942.28 = 1,469.12 : x
  2. Step 2: Convert to fraction form
    2,130.56/2,942.28 = 1,469.12/x
  3. Step 3: Cross multiply
    2,130.56x = 2,942.28 × 1,469.12
  4. Step 4: Simplify right side
    2,130.56x = 4,322,562.39
  5. Step 5: Solve for x
    x = 4,322,562.39/2,130.56
  6. Step 6: Final answer
    x = 2,028.84

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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.