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Finding the Fourth Proportional to 2,110.99, 2,913.08 and 1,166.73

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Solution

The fourth proportional to 2,110.99, 2,913.08 and 1,166.73 is: 1,610.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.99 : 2,913.08 = 1,166.73 : x
  2. Step 2: Convert to fraction form
    2,110.99/2,913.08 = 1,166.73/x
  3. Step 3: Cross multiply
    2,110.99x = 2,913.08 × 1,166.73
  4. Step 4: Simplify right side
    2,110.99x = 3,398,784.38
  5. Step 5: Solve for x
    x = 3,398,784.38/2,110.99
  6. Step 6: Final answer
    x = 1,610.04

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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.