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Finding the Fourth Proportional to 1,935.94, 2,903.89 and 475.08

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Solution

The fourth proportional to 1,935.94, 2,903.89 and 475.08 is: 712.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.94 : 2,903.89 = 475.08 : x
  2. Step 2: Convert to fraction form
    1,935.94/2,903.89 = 475.08/x
  3. Step 3: Cross multiply
    1,935.94x = 2,903.89 × 475.08
  4. Step 4: Simplify right side
    1,935.94x = 1,379,580.06
  5. Step 5: Solve for x
    x = 1,379,580.06/1,935.94
  6. Step 6: Final answer
    x = 712.62

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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.