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Finding the Fourth Proportional to 1,865.38, 2,795.24 and 938.34

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Solution

The fourth proportional to 1,865.38, 2,795.24 and 938.34 is: 1,406.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.38 : 2,795.24 = 938.34 : x
  2. Step 2: Convert to fraction form
    1,865.38/2,795.24 = 938.34/x
  3. Step 3: Cross multiply
    1,865.38x = 2,795.24 × 938.34
  4. Step 4: Simplify right side
    1,865.38x = 2,622,885.50
  5. Step 5: Solve for x
    x = 2,622,885.50/1,865.38
  6. Step 6: Final answer
    x = 1,406.09

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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.