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Finding the Fourth Proportional to 1,938.05, 2,905.26 and 705.15

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Solution

The fourth proportional to 1,938.05, 2,905.26 and 705.15 is: 1,057.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.05 : 2,905.26 = 705.15 : x
  2. Step 2: Convert to fraction form
    1,938.05/2,905.26 = 705.15/x
  3. Step 3: Cross multiply
    1,938.05x = 2,905.26 × 705.15
  4. Step 4: Simplify right side
    1,938.05x = 2,048,644.09
  5. Step 5: Solve for x
    x = 2,048,644.09/1,938.05
  6. Step 6: Final answer
    x = 1,057.06

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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.