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Finding the Fourth Proportional to 3,206.00, 4,809.14 and 1,014.89

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Solution

The fourth proportional to 3,206.00, 4,809.14 and 1,014.89 is: 1,522.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.00 : 4,809.14 = 1,014.89 : x
  2. Step 2: Convert to fraction form
    3,206.00/4,809.14 = 1,014.89/x
  3. Step 3: Cross multiply
    3,206.00x = 4,809.14 × 1,014.89
  4. Step 4: Simplify right side
    3,206.00x = 4,880,718.97
  5. Step 5: Solve for x
    x = 4,880,718.97/3,206.00
  6. Step 6: Final answer
    x = 1,522.37

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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.