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Finding the Fourth Proportional to 1,938.50, 2,906.45 and 705.75

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Solution

The fourth proportional to 1,938.50, 2,906.45 and 705.75 is: 1,058.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.50 : 2,906.45 = 705.75 : x
  2. Step 2: Convert to fraction form
    1,938.50/2,906.45 = 705.75/x
  3. Step 3: Cross multiply
    1,938.50x = 2,906.45 × 705.75
  4. Step 4: Simplify right side
    1,938.50x = 2,051,223.56
  5. Step 5: Solve for x
    x = 2,051,223.56/1,938.50
  6. Step 6: Final answer
    x = 1,058.15

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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.