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Finding the Fourth Proportional to 2,754.34, 4,130.69 and 1,022.56

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Solution

The fourth proportional to 2,754.34, 4,130.69 and 1,022.56 is: 1,533.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.34 : 4,130.69 = 1,022.56 : x
  2. Step 2: Convert to fraction form
    2,754.34/4,130.69 = 1,022.56/x
  3. Step 3: Cross multiply
    2,754.34x = 4,130.69 × 1,022.56
  4. Step 4: Simplify right side
    2,754.34x = 4,223,878.37
  5. Step 5: Solve for x
    x = 4,223,878.37/2,754.34
  6. Step 6: Final answer
    x = 1,533.54

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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.