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Finding the Fourth Proportional to 2,072.48, 3,109.20 and 611.68

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Solution

The fourth proportional to 2,072.48, 3,109.20 and 611.68 is: 917.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.48 : 3,109.20 = 611.68 : x
  2. Step 2: Convert to fraction form
    2,072.48/3,109.20 = 611.68/x
  3. Step 3: Cross multiply
    2,072.48x = 3,109.20 × 611.68
  4. Step 4: Simplify right side
    2,072.48x = 1,901,835.46
  5. Step 5: Solve for x
    x = 1,901,835.46/2,072.48
  6. Step 6: Final answer
    x = 917.66

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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.