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Finding the Fourth Proportional to 2,709.14, 4,066.08 and 1,323.50

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Solution

The fourth proportional to 2,709.14, 4,066.08 and 1,323.50 is: 1,986.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.14 : 4,066.08 = 1,323.50 : x
  2. Step 2: Convert to fraction form
    2,709.14/4,066.08 = 1,323.50/x
  3. Step 3: Cross multiply
    2,709.14x = 4,066.08 × 1,323.50
  4. Step 4: Simplify right side
    2,709.14x = 5,381,456.88
  5. Step 5: Solve for x
    x = 5,381,456.88/2,709.14
  6. Step 6: Final answer
    x = 1,986.41

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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.