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Finding the Fourth Proportional to 3,078.86, 4,618.31 and 1,434.51

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Solution

The fourth proportional to 3,078.86, 4,618.31 and 1,434.51 is: 2,151.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.86 : 4,618.31 = 1,434.51 : x
  2. Step 2: Convert to fraction form
    3,078.86/4,618.31 = 1,434.51/x
  3. Step 3: Cross multiply
    3,078.86x = 4,618.31 × 1,434.51
  4. Step 4: Simplify right side
    3,078.86x = 6,625,004.71
  5. Step 5: Solve for x
    x = 6,625,004.71/3,078.86
  6. Step 6: Final answer
    x = 2,151.78

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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.