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Finding the Fourth Proportional to 2,496, 3,441.27 and 2,046.21

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Solution

The fourth proportional to 2,496, 3,441.27 and 2,046.21 is: 2,821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496 : 3,441.27 = 2,046.21 : x
  2. Step 2: Convert to fraction form
    2,496/3,441.27 = 2,046.21/x
  3. Step 3: Cross multiply
    2,496x = 3,441.27 × 2,046.21
  4. Step 4: Simplify right side
    2,496x = 7,041,561.09
  5. Step 5: Solve for x
    x = 7,041,561.09/2,496
  6. Step 6: Final answer
    x = 2,821.14

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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.