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Finding the Fourth Proportional to 1,469.78, 2,028.16 and 880.32

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Solution

The fourth proportional to 1,469.78, 2,028.16 and 880.32 is: 1,214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.78 : 2,028.16 = 880.32 : x
  2. Step 2: Convert to fraction form
    1,469.78/2,028.16 = 880.32/x
  3. Step 3: Cross multiply
    1,469.78x = 2,028.16 × 880.32
  4. Step 4: Simplify right side
    1,469.78x = 1,785,429.81
  5. Step 5: Solve for x
    x = 1,785,429.81/1,469.78
  6. Step 6: Final answer
    x = 1,214.76

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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.