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Finding the Fourth Proportional to 3,078.32, 4,609.24 and 1,614.38

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Solution

The fourth proportional to 3,078.32, 4,609.24 and 1,614.38 is: 2,417.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.32 : 4,609.24 = 1,614.38 : x
  2. Step 2: Convert to fraction form
    3,078.32/4,609.24 = 1,614.38/x
  3. Step 3: Cross multiply
    3,078.32x = 4,609.24 × 1,614.38
  4. Step 4: Simplify right side
    3,078.32x = 7,441,064.87
  5. Step 5: Solve for x
    x = 7,441,064.87/3,078.32
  6. Step 6: Final answer
    x = 2,417.25

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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.