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Finding the Fourth Proportional to 2,322.19, 3,482.80 and 821.41

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Solution

The fourth proportional to 2,322.19, 3,482.80 and 821.41 is: 1,231.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.19 : 3,482.80 = 821.41 : x
  2. Step 2: Convert to fraction form
    2,322.19/3,482.80 = 821.41/x
  3. Step 3: Cross multiply
    2,322.19x = 3,482.80 × 821.41
  4. Step 4: Simplify right side
    2,322.19x = 2,860,795.99
  5. Step 5: Solve for x
    x = 2,860,795.99/2,322.19
  6. Step 6: Final answer
    x = 1,231.94

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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.