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Finding the Fourth Proportional to 2,842.43, 3,921.45 and 1,779.77

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Solution

The fourth proportional to 2,842.43, 3,921.45 and 1,779.77 is: 2,455.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.43 : 3,921.45 = 1,779.77 : x
  2. Step 2: Convert to fraction form
    2,842.43/3,921.45 = 1,779.77/x
  3. Step 3: Cross multiply
    2,842.43x = 3,921.45 × 1,779.77
  4. Step 4: Simplify right side
    2,842.43x = 6,979,259.46
  5. Step 5: Solve for x
    x = 6,979,259.46/2,842.43
  6. Step 6: Final answer
    x = 2,455.38

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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.