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Finding the Fourth Proportional to 2,541.54, 3,814.71 and 1,309.80

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Solution

The fourth proportional to 2,541.54, 3,814.71 and 1,309.80 is: 1,965.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.54 : 3,814.71 = 1,309.80 : x
  2. Step 2: Convert to fraction form
    2,541.54/3,814.71 = 1,309.80/x
  3. Step 3: Cross multiply
    2,541.54x = 3,814.71 × 1,309.80
  4. Step 4: Simplify right side
    2,541.54x = 4,996,488.08
  5. Step 5: Solve for x
    x = 4,996,488.08/2,541.54
  6. Step 6: Final answer
    x = 1,965.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.