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Finding the Fourth Proportional to 2,071.57, 3,103.71 and 1,845.58

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Solution

The fourth proportional to 2,071.57, 3,103.71 and 1,845.58 is: 2,765.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.57 : 3,103.71 = 1,845.58 : x
  2. Step 2: Convert to fraction form
    2,071.57/3,103.71 = 1,845.58/x
  3. Step 3: Cross multiply
    2,071.57x = 3,103.71 × 1,845.58
  4. Step 4: Simplify right side
    2,071.57x = 5,728,145.10
  5. Step 5: Solve for x
    x = 5,728,145.10/2,071.57
  6. Step 6: Final answer
    x = 2,765.12

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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.