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Finding the Fourth Proportional to 2,142.08, 3,210.96 and 2,049.20

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Solution

The fourth proportional to 2,142.08, 3,210.96 and 2,049.20 is: 3,071.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.08 : 3,210.96 = 2,049.20 : x
  2. Step 2: Convert to fraction form
    2,142.08/3,210.96 = 2,049.20/x
  3. Step 3: Cross multiply
    2,142.08x = 3,210.96 × 2,049.20
  4. Step 4: Simplify right side
    2,142.08x = 6,579,899.23
  5. Step 5: Solve for x
    x = 6,579,899.23/2,142.08
  6. Step 6: Final answer
    x = 3,071.73

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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.