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Finding the Fourth Proportional to 2,982, 4,114.02 and 2,300.82

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Solution

The fourth proportional to 2,982, 4,114.02 and 2,300.82 is: 3,174.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982 : 4,114.02 = 2,300.82 : x
  2. Step 2: Convert to fraction form
    2,982/4,114.02 = 2,300.82/x
  3. Step 3: Cross multiply
    2,982x = 4,114.02 × 2,300.82
  4. Step 4: Simplify right side
    2,982x = 9,465,619.50
  5. Step 5: Solve for x
    x = 9,465,619.50/2,982
  6. Step 6: Final answer
    x = 3,174.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.