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Finding the Fourth Proportional to 2,308.74, 3,184.41 and 1,541.82

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Solution

The fourth proportional to 2,308.74, 3,184.41 and 1,541.82 is: 2,126.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.74 : 3,184.41 = 1,541.82 : x
  2. Step 2: Convert to fraction form
    2,308.74/3,184.41 = 1,541.82/x
  3. Step 3: Cross multiply
    2,308.74x = 3,184.41 × 1,541.82
  4. Step 4: Simplify right side
    2,308.74x = 4,909,787.03
  5. Step 5: Solve for x
    x = 4,909,787.03/2,308.74
  6. Step 6: Final answer
    x = 2,126.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.