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Finding the Fourth Proportional to 2,828.37, 4,242.75 and 880.32

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Solution

The fourth proportional to 2,828.37, 4,242.75 and 880.32 is: 1,320.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.37 : 4,242.75 = 880.32 : x
  2. Step 2: Convert to fraction form
    2,828.37/4,242.75 = 880.32/x
  3. Step 3: Cross multiply
    2,828.37x = 4,242.75 × 880.32
  4. Step 4: Simplify right side
    2,828.37x = 3,734,977.68
  5. Step 5: Solve for x
    x = 3,734,977.68/2,828.37
  6. Step 6: Final answer
    x = 1,320.54

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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.