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Finding the Fourth Proportional to 3,056.88, 4,582.21 and 1,205.45

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Solution

The fourth proportional to 3,056.88, 4,582.21 and 1,205.45 is: 1,806.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.88 : 4,582.21 = 1,205.45 : x
  2. Step 2: Convert to fraction form
    3,056.88/4,582.21 = 1,205.45/x
  3. Step 3: Cross multiply
    3,056.88x = 4,582.21 × 1,205.45
  4. Step 4: Simplify right side
    3,056.88x = 5,523,625.04
  5. Step 5: Solve for x
    x = 5,523,625.04/3,056.88
  6. Step 6: Final answer
    x = 1,806.95

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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.