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Finding the Fourth Proportional to 1,958.08, 2,935.72 and 917.50

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Solution

The fourth proportional to 1,958.08, 2,935.72 and 917.50 is: 1,375.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.08 : 2,935.72 = 917.50 : x
  2. Step 2: Convert to fraction form
    1,958.08/2,935.72 = 917.50/x
  3. Step 3: Cross multiply
    1,958.08x = 2,935.72 × 917.50
  4. Step 4: Simplify right side
    1,958.08x = 2,693,523.10
  5. Step 5: Solve for x
    x = 2,693,523.10/1,958.08
  6. Step 6: Final answer
    x = 1,375.59

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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.