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Finding the Fourth Proportional to 2,982.04, 4,111.20 and 2,560.57

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Solution

The fourth proportional to 2,982.04, 4,111.20 and 2,560.57 is: 3,530.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.04 : 4,111.20 = 2,560.57 : x
  2. Step 2: Convert to fraction form
    2,982.04/4,111.20 = 2,560.57/x
  3. Step 3: Cross multiply
    2,982.04x = 4,111.20 × 2,560.57
  4. Step 4: Simplify right side
    2,982.04x = 10,527,015.38
  5. Step 5: Solve for x
    x = 10,527,015.38/2,982.04
  6. Step 6: Final answer
    x = 3,530.14

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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.