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Finding the Fourth Proportional to 2,788.97, 3,848.81 and 1,594.20

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Solution

The fourth proportional to 2,788.97, 3,848.81 and 1,594.20 is: 2,200.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.97 : 3,848.81 = 1,594.20 : x
  2. Step 2: Convert to fraction form
    2,788.97/3,848.81 = 1,594.20/x
  3. Step 3: Cross multiply
    2,788.97x = 3,848.81 × 1,594.20
  4. Step 4: Simplify right side
    2,788.97x = 6,135,779.36
  5. Step 5: Solve for x
    x = 6,135,779.36/2,788.97
  6. Step 6: Final answer
    x = 2,200.02

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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.