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Finding the Fourth Proportional to 1,720.84, 2,375.14 and 1,131.43

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Solution

The fourth proportional to 1,720.84, 2,375.14 and 1,131.43 is: 1,561.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.84 : 2,375.14 = 1,131.43 : x
  2. Step 2: Convert to fraction form
    1,720.84/2,375.14 = 1,131.43/x
  3. Step 3: Cross multiply
    1,720.84x = 2,375.14 × 1,131.43
  4. Step 4: Simplify right side
    1,720.84x = 2,687,293.76
  5. Step 5: Solve for x
    x = 2,687,293.76/1,720.84
  6. Step 6: Final answer
    x = 1,561.62

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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.