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Finding the Fourth Proportional to 1,939.85, 2,909.74 and 707.25

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Solution

The fourth proportional to 1,939.85, 2,909.74 and 707.25 is: 1,060.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.85 : 2,909.74 = 707.25 : x
  2. Step 2: Convert to fraction form
    1,939.85/2,909.74 = 707.25/x
  3. Step 3: Cross multiply
    1,939.85x = 2,909.74 × 707.25
  4. Step 4: Simplify right side
    1,939.85x = 2,057,907.72
  5. Step 5: Solve for x
    x = 2,057,907.72/1,939.85
  6. Step 6: Final answer
    x = 1,060.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.