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Finding the Fourth Proportional to 2,720.96, 3,753.14 and 2,130.47

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Solution

The fourth proportional to 2,720.96, 3,753.14 and 2,130.47 is: 2,938.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.96 : 3,753.14 = 2,130.47 : x
  2. Step 2: Convert to fraction form
    2,720.96/3,753.14 = 2,130.47/x
  3. Step 3: Cross multiply
    2,720.96x = 3,753.14 × 2,130.47
  4. Step 4: Simplify right side
    2,720.96x = 7,995,952.18
  5. Step 5: Solve for x
    x = 7,995,952.18/2,720.96
  6. Step 6: Final answer
    x = 2,938.65

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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.