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Finding the Fourth Proportional to 4,207.69, 6,310.92 and 1,434.45

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Solution

The fourth proportional to 4,207.69, 6,310.92 and 1,434.45 is: 2,151.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.69 : 6,310.92 = 1,434.45 : x
  2. Step 2: Convert to fraction form
    4,207.69/6,310.92 = 1,434.45/x
  3. Step 3: Cross multiply
    4,207.69x = 6,310.92 × 1,434.45
  4. Step 4: Simplify right side
    4,207.69x = 9,052,699.19
  5. Step 5: Solve for x
    x = 9,052,699.19/4,207.69
  6. Step 6: Final answer
    x = 2,151.47

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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.