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Finding the Fourth Proportional to 2,081.16, 2,873.04 and 1,295.46

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Solution

The fourth proportional to 2,081.16, 2,873.04 and 1,295.46 is: 1,788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.16 : 2,873.04 = 1,295.46 : x
  2. Step 2: Convert to fraction form
    2,081.16/2,873.04 = 1,295.46/x
  3. Step 3: Cross multiply
    2,081.16x = 2,873.04 × 1,295.46
  4. Step 4: Simplify right side
    2,081.16x = 3,721,908.40
  5. Step 5: Solve for x
    x = 3,721,908.40/2,081.16
  6. Step 6: Final answer
    x = 1,788.38

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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.