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Finding the Fourth Proportional to 3,079.07, 4,617.67 and 1,617.42

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Solution

The fourth proportional to 3,079.07, 4,617.67 and 1,617.42 is: 2,425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,079.07 : 4,617.67 = 1,617.42 : x
  2. Step 2: Convert to fraction form
    3,079.07/4,617.67 = 1,617.42/x
  3. Step 3: Cross multiply
    3,079.07x = 4,617.67 × 1,617.42
  4. Step 4: Simplify right side
    3,079.07x = 7,468,711.81
  5. Step 5: Solve for x
    x = 7,468,711.81/3,079.07
  6. Step 6: Final answer
    x = 2,425.64

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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.