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Finding the Fourth Proportional to 1,634.78, 2,256.02 and 888.74

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Solution

The fourth proportional to 1,634.78, 2,256.02 and 888.74 is: 1,226.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.78 : 2,256.02 = 888.74 : x
  2. Step 2: Convert to fraction form
    1,634.78/2,256.02 = 888.74/x
  3. Step 3: Cross multiply
    1,634.78x = 2,256.02 × 888.74
  4. Step 4: Simplify right side
    1,634.78x = 2,005,021.67
  5. Step 5: Solve for x
    x = 2,005,021.67/1,634.78
  6. Step 6: Final answer
    x = 1,226.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.