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Finding the Fourth Proportional to 1,845.01, 2,546.11 and 1,005.71

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Solution

The fourth proportional to 1,845.01, 2,546.11 and 1,005.71 is: 1,387.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.01 : 2,546.11 = 1,005.71 : x
  2. Step 2: Convert to fraction form
    1,845.01/2,546.11 = 1,005.71/x
  3. Step 3: Cross multiply
    1,845.01x = 2,546.11 × 1,005.71
  4. Step 4: Simplify right side
    1,845.01x = 2,560,639.41
  5. Step 5: Solve for x
    x = 2,560,639.41/1,845.01
  6. Step 6: Final answer
    x = 1,387.88

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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.