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Finding the Fourth Proportional to 3,078.70, 4,614.45 and 1,617.10

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Solution

The fourth proportional to 3,078.70, 4,614.45 and 1,617.10 is: 2,423.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.70 : 4,614.45 = 1,617.10 : x
  2. Step 2: Convert to fraction form
    3,078.70/4,614.45 = 1,617.10/x
  3. Step 3: Cross multiply
    3,078.70x = 4,614.45 × 1,617.10
  4. Step 4: Simplify right side
    3,078.70x = 7,462,027.10
  5. Step 5: Solve for x
    x = 7,462,027.10/3,078.70
  6. Step 6: Final answer
    x = 2,423.76

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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.