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Finding the Fourth Proportional to 2,482.67, 3,723.11 and 816.37

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Solution

The fourth proportional to 2,482.67, 3,723.11 and 816.37 is: 1,224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.67 : 3,723.11 = 816.37 : x
  2. Step 2: Convert to fraction form
    2,482.67/3,723.11 = 816.37/x
  3. Step 3: Cross multiply
    2,482.67x = 3,723.11 × 816.37
  4. Step 4: Simplify right side
    2,482.67x = 3,039,421.76
  5. Step 5: Solve for x
    x = 3,039,421.76/2,482.67
  6. Step 6: Final answer
    x = 1,224.25

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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.