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Finding the Fourth Proportional to 2,052.76, 3,090.24 and 1,874.20

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Solution

The fourth proportional to 2,052.76, 3,090.24 and 1,874.20 is: 2,821.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.76 : 3,090.24 = 1,874.20 : x
  2. Step 2: Convert to fraction form
    2,052.76/3,090.24 = 1,874.20/x
  3. Step 3: Cross multiply
    2,052.76x = 3,090.24 × 1,874.20
  4. Step 4: Simplify right side
    2,052.76x = 5,791,727.81
  5. Step 5: Solve for x
    x = 5,791,727.81/2,052.76
  6. Step 6: Final answer
    x = 2,821.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.