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Finding the Fourth Proportional to 2,842.36, 4,253.22 and 2,071.48

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Solution

The fourth proportional to 2,842.36, 4,253.22 and 2,071.48 is: 3,099.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.36 : 4,253.22 = 2,071.48 : x
  2. Step 2: Convert to fraction form
    2,842.36/4,253.22 = 2,071.48/x
  3. Step 3: Cross multiply
    2,842.36x = 4,253.22 × 2,071.48
  4. Step 4: Simplify right side
    2,842.36x = 8,810,460.17
  5. Step 5: Solve for x
    x = 8,810,460.17/2,842.36
  6. Step 6: Final answer
    x = 3,099.70

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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.