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Finding the Fourth Proportional to 2,821.68, 4,232.14 and 741.82

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Solution

The fourth proportional to 2,821.68, 4,232.14 and 741.82 is: 1,112.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.68 : 4,232.14 = 741.82 : x
  2. Step 2: Convert to fraction form
    2,821.68/4,232.14 = 741.82/x
  3. Step 3: Cross multiply
    2,821.68x = 4,232.14 × 741.82
  4. Step 4: Simplify right side
    2,821.68x = 3,139,486.09
  5. Step 5: Solve for x
    x = 3,139,486.09/2,821.68
  6. Step 6: Final answer
    x = 1,112.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.