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Finding the Fourth Proportional to 1,540.37, 2,310.56 and 386.12

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Solution

The fourth proportional to 1,540.37, 2,310.56 and 386.12 is: 579.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.37 : 2,310.56 = 386.12 : x
  2. Step 2: Convert to fraction form
    1,540.37/2,310.56 = 386.12/x
  3. Step 3: Cross multiply
    1,540.37x = 2,310.56 × 386.12
  4. Step 4: Simplify right side
    1,540.37x = 892,153.43
  5. Step 5: Solve for x
    x = 892,153.43/1,540.37
  6. Step 6: Final answer
    x = 579.18

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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.