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Finding the Fourth Proportional to 3,277.89, 4,914.12 and 1,302.30

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Solution

The fourth proportional to 3,277.89, 4,914.12 and 1,302.30 is: 1,952.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.89 : 4,914.12 = 1,302.30 : x
  2. Step 2: Convert to fraction form
    3,277.89/4,914.12 = 1,302.30/x
  3. Step 3: Cross multiply
    3,277.89x = 4,914.12 × 1,302.30
  4. Step 4: Simplify right side
    3,277.89x = 6,399,663.36
  5. Step 5: Solve for x
    x = 6,399,663.36/3,277.89
  6. Step 6: Final answer
    x = 1,952.37

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1.5x scale

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.