Home / 2,824.20-4,234.02-1,284.12

Finding the Fourth Proportional to 2,824.20, 4,234.02 and 1,284.12

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Solution

The fourth proportional to 2,824.20, 4,234.02 and 1,284.12 is: 1,925.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.20 : 4,234.02 = 1,284.12 : x
  2. Step 2: Convert to fraction form
    2,824.20/4,234.02 = 1,284.12/x
  3. Step 3: Cross multiply
    2,824.20x = 4,234.02 × 1,284.12
  4. Step 4: Simplify right side
    2,824.20x = 5,436,989.76
  5. Step 5: Solve for x
    x = 5,436,989.76/2,824.20
  6. Step 6: Final answer
    x = 1,925.14

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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.