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Finding the Fourth Proportional to 1,938.78, 2,907.46 and 705.90

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Solution

The fourth proportional to 1,938.78, 2,907.46 and 705.90 is: 1,058.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.78 : 2,907.46 = 705.90 : x
  2. Step 2: Convert to fraction form
    1,938.78/2,907.46 = 705.90/x
  3. Step 3: Cross multiply
    1,938.78x = 2,907.46 × 705.90
  4. Step 4: Simplify right side
    1,938.78x = 2,052,376.01
  5. Step 5: Solve for x
    x = 2,052,376.01/1,938.78
  6. Step 6: Final answer
    x = 1,058.59

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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.