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Finding the Fourth Proportional to 2,109.66, 2,904.03 and 1,825.97

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Solution

The fourth proportional to 2,109.66, 2,904.03 and 1,825.97 is: 2,513.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.66 : 2,904.03 = 1,825.97 : x
  2. Step 2: Convert to fraction form
    2,109.66/2,904.03 = 1,825.97/x
  3. Step 3: Cross multiply
    2,109.66x = 2,904.03 × 1,825.97
  4. Step 4: Simplify right side
    2,109.66x = 5,302,657.14
  5. Step 5: Solve for x
    x = 5,302,657.14/2,109.66
  6. Step 6: Final answer
    x = 2,513.51

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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.