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Finding the Fourth Proportional to 2,246.40, 3,369.96 and 859.68

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Solution

The fourth proportional to 2,246.40, 3,369.96 and 859.68 is: 1,289.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.40 : 3,369.96 = 859.68 : x
  2. Step 2: Convert to fraction form
    2,246.40/3,369.96 = 859.68/x
  3. Step 3: Cross multiply
    2,246.40x = 3,369.96 × 859.68
  4. Step 4: Simplify right side
    2,246.40x = 2,897,087.21
  5. Step 5: Solve for x
    x = 2,897,087.21/2,246.40
  6. Step 6: Final answer
    x = 1,289.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.