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Finding the Fourth Proportional to 1,309.41, 1,964.18 and 1,243.80

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Solution

The fourth proportional to 1,309.41, 1,964.18 and 1,243.80 is: 1,865.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.41 : 1,964.18 = 1,243.80 : x
  2. Step 2: Convert to fraction form
    1,309.41/1,964.18 = 1,243.80/x
  3. Step 3: Cross multiply
    1,309.41x = 1,964.18 × 1,243.80
  4. Step 4: Simplify right side
    1,309.41x = 2,443,050.19
  5. Step 5: Solve for x
    x = 2,443,050.19/1,309.41
  6. Step 6: Final answer
    x = 1,865.76

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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.