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Finding the Fourth Proportional to 2,053.96, 3,078.78 and 820.68

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Solution

The fourth proportional to 2,053.96, 3,078.78 and 820.68 is: 1,230.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.96 : 3,078.78 = 820.68 : x
  2. Step 2: Convert to fraction form
    2,053.96/3,078.78 = 820.68/x
  3. Step 3: Cross multiply
    2,053.96x = 3,078.78 × 820.68
  4. Step 4: Simplify right side
    2,053.96x = 2,526,693.17
  5. Step 5: Solve for x
    x = 2,526,693.17/2,053.96
  6. Step 6: Final answer
    x = 1,230.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.