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Finding the Fourth Proportional to 3,277.74, 4,909.14 and 1,976.34

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Solution

The fourth proportional to 3,277.74, 4,909.14 and 1,976.34 is: 2,960.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.74 : 4,909.14 = 1,976.34 : x
  2. Step 2: Convert to fraction form
    3,277.74/4,909.14 = 1,976.34/x
  3. Step 3: Cross multiply
    3,277.74x = 4,909.14 × 1,976.34
  4. Step 4: Simplify right side
    3,277.74x = 9,702,129.75
  5. Step 5: Solve for x
    x = 9,702,129.75/3,277.74
  6. Step 6: Final answer
    x = 2,960.01

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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.