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Finding the Fourth Proportional to 2,554.64, 3,832.46 and 888.63

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Solution

The fourth proportional to 2,554.64, 3,832.46 and 888.63 is: 1,333.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.64 : 3,832.46 = 888.63 : x
  2. Step 2: Convert to fraction form
    2,554.64/3,832.46 = 888.63/x
  3. Step 3: Cross multiply
    2,554.64x = 3,832.46 × 888.63
  4. Step 4: Simplify right side
    2,554.64x = 3,405,634.49
  5. Step 5: Solve for x
    x = 3,405,634.49/2,554.64
  6. Step 6: Final answer
    x = 1,333.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.