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Finding the Fourth Proportional to 3,065.09, 4,599.16 and 1,216.17

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Solution

The fourth proportional to 3,065.09, 4,599.16 and 1,216.17 is: 1,824.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.09 : 4,599.16 = 1,216.17 : x
  2. Step 2: Convert to fraction form
    3,065.09/4,599.16 = 1,216.17/x
  3. Step 3: Cross multiply
    3,065.09x = 4,599.16 × 1,216.17
  4. Step 4: Simplify right side
    3,065.09x = 5,593,360.42
  5. Step 5: Solve for x
    x = 5,593,360.42/3,065.09
  6. Step 6: Final answer
    x = 1,824.86

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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.