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Finding the Fourth Proportional to 3,078.69, 4,615.47 and 1,434.39

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Solution

The fourth proportional to 3,078.69, 4,615.47 and 1,434.39 is: 2,150.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.69 : 4,615.47 = 1,434.39 : x
  2. Step 2: Convert to fraction form
    3,078.69/4,615.47 = 1,434.39/x
  3. Step 3: Cross multiply
    3,078.69x = 4,615.47 × 1,434.39
  4. Step 4: Simplify right side
    3,078.69x = 6,620,384.01
  5. Step 5: Solve for x
    x = 6,620,384.01/3,078.69
  6. Step 6: Final answer
    x = 2,150.39

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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.