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Finding the Fourth Proportional to 1,634.58, 2,255.66 and 888.53

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Solution

The fourth proportional to 1,634.58, 2,255.66 and 888.53 is: 1,226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.58 : 2,255.66 = 888.53 : x
  2. Step 2: Convert to fraction form
    1,634.58/2,255.66 = 888.53/x
  3. Step 3: Cross multiply
    1,634.58x = 2,255.66 × 888.53
  4. Step 4: Simplify right side
    1,634.58x = 2,004,205.86
  5. Step 5: Solve for x
    x = 2,004,205.86/1,634.58
  6. Step 6: Final answer
    x = 1,226.13

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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.