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Finding the Fourth Proportional to 2,707.98, 4,063.92 and 1,783.20

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Solution

The fourth proportional to 2,707.98, 4,063.92 and 1,783.20 is: 2,676.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.98 : 4,063.92 = 1,783.20 : x
  2. Step 2: Convert to fraction form
    2,707.98/4,063.92 = 1,783.20/x
  3. Step 3: Cross multiply
    2,707.98x = 4,063.92 × 1,783.20
  4. Step 4: Simplify right side
    2,707.98x = 7,246,782.14
  5. Step 5: Solve for x
    x = 7,246,782.14/2,707.98
  6. Step 6: Final answer
    x = 2,676.08

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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.