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Finding the Fourth Proportional to 3,266.84, 4,900.25 and 1,319.02

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Solution

The fourth proportional to 3,266.84, 4,900.25 and 1,319.02 is: 1,978.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.84 : 4,900.25 = 1,319.02 : x
  2. Step 2: Convert to fraction form
    3,266.84/4,900.25 = 1,319.02/x
  3. Step 3: Cross multiply
    3,266.84x = 4,900.25 × 1,319.02
  4. Step 4: Simplify right side
    3,266.84x = 6,463,527.76
  5. Step 5: Solve for x
    x = 6,463,527.76/3,266.84
  6. Step 6: Final answer
    x = 1,978.53

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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.