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Finding the Fourth Proportional to 2,281.84, 3,423.53 and 821.12

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Solution

The fourth proportional to 2,281.84, 3,423.53 and 821.12 is: 1,231.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.84 : 3,423.53 = 821.12 : x
  2. Step 2: Convert to fraction form
    2,281.84/3,423.53 = 821.12/x
  3. Step 3: Cross multiply
    2,281.84x = 3,423.53 × 821.12
  4. Step 4: Simplify right side
    2,281.84x = 2,811,113.89
  5. Step 5: Solve for x
    x = 2,811,113.89/2,281.84
  6. Step 6: Final answer
    x = 1,231.95

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