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Finding the Fourth Proportional to 1,610.88, 2,222.60 and 1,086

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Solution

The fourth proportional to 1,610.88, 2,222.60 and 1,086 is: 1,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.88 : 2,222.60 = 1,086 : x
  2. Step 2: Convert to fraction form
    1,610.88/2,222.60 = 1,086/x
  3. Step 3: Cross multiply
    1,610.88x = 2,222.60 × 1,086
  4. Step 4: Simplify right side
    1,610.88x = 2,413,743.60
  5. Step 5: Solve for x
    x = 2,413,743.60/1,610.88
  6. Step 6: Final answer
    x = 1,498.40

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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.