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Finding the Fourth Proportional to 2,072.34, 3,107.64 and 917.28

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Solution

The fourth proportional to 2,072.34, 3,107.64 and 917.28 is: 1,375.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.34 : 3,107.64 = 917.28 : x
  2. Step 2: Convert to fraction form
    2,072.34/3,107.64 = 917.28/x
  3. Step 3: Cross multiply
    2,072.34x = 3,107.64 × 917.28
  4. Step 4: Simplify right side
    2,072.34x = 2,850,576.02
  5. Step 5: Solve for x
    x = 2,850,576.02/2,072.34
  6. Step 6: Final answer
    x = 1,375.53

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1.5x scale

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.