Home / 2,982.17-4,110.68-2,271.74

Finding the Fourth Proportional to 2,982.17, 4,110.68 and 2,271.74

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Solution

The fourth proportional to 2,982.17, 4,110.68 and 2,271.74 is: 3,131.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.17 : 4,110.68 = 2,271.74 : x
  2. Step 2: Convert to fraction form
    2,982.17/4,110.68 = 2,271.74/x
  3. Step 3: Cross multiply
    2,982.17x = 4,110.68 × 2,271.74
  4. Step 4: Simplify right side
    2,982.17x = 9,338,381.31
  5. Step 5: Solve for x
    x = 9,338,381.31/2,982.17
  6. Step 6: Final answer
    x = 3,131.40

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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.