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Finding the Fourth Proportional to 2,802.44, 4,201.22 and 2,071.01

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Solution

The fourth proportional to 2,802.44, 4,201.22 and 2,071.01 is: 3,104.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.44 : 4,201.22 = 2,071.01 : x
  2. Step 2: Convert to fraction form
    2,802.44/4,201.22 = 2,071.01/x
  3. Step 3: Cross multiply
    2,802.44x = 4,201.22 × 2,071.01
  4. Step 4: Simplify right side
    2,802.44x = 8,700,737.27
  5. Step 5: Solve for x
    x = 8,700,737.27/2,802.44
  6. Step 6: Final answer
    x = 3,104.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.