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Finding the Fourth Proportional to 1,616.63, 2,230.94 and 880.63

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Solution

The fourth proportional to 1,616.63, 2,230.94 and 880.63 is: 1,215.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.63 : 2,230.94 = 880.63 : x
  2. Step 2: Convert to fraction form
    1,616.63/2,230.94 = 880.63/x
  3. Step 3: Cross multiply
    1,616.63x = 2,230.94 × 880.63
  4. Step 4: Simplify right side
    1,616.63x = 1,964,623.74
  5. Step 5: Solve for x
    x = 1,964,623.74/1,616.63
  6. Step 6: Final answer
    x = 1,215.26

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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.