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Finding the Fourth Proportional to 3,255.90, 4,883.69 and 1,309.47

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Solution

The fourth proportional to 3,255.90, 4,883.69 and 1,309.47 is: 1,964.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.90 : 4,883.69 = 1,309.47 : x
  2. Step 2: Convert to fraction form
    3,255.90/4,883.69 = 1,309.47/x
  3. Step 3: Cross multiply
    3,255.90x = 4,883.69 × 1,309.47
  4. Step 4: Simplify right side
    3,255.90x = 6,395,030.50
  5. Step 5: Solve for x
    x = 6,395,030.50/3,255.90
  6. Step 6: Final answer
    x = 1,964.14

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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.