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Finding the Fourth Proportional to 3,153.66, 4,727.25 and 1,205.34

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Solution

The fourth proportional to 3,153.66, 4,727.25 and 1,205.34 is: 1,806.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.66 : 4,727.25 = 1,205.34 : x
  2. Step 2: Convert to fraction form
    3,153.66/4,727.25 = 1,205.34/x
  3. Step 3: Cross multiply
    3,153.66x = 4,727.25 × 1,205.34
  4. Step 4: Simplify right side
    3,153.66x = 5,697,943.52
  5. Step 5: Solve for x
    x = 5,697,943.52/3,153.66
  6. Step 6: Final answer
    x = 1,806.77

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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.