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Finding the Fourth Proportional to 1,939.42, 2,909.49 and 706.74

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Solution

The fourth proportional to 1,939.42, 2,909.49 and 706.74 is: 1,060.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.42 : 2,909.49 = 706.74 : x
  2. Step 2: Convert to fraction form
    1,939.42/2,909.49 = 706.74/x
  3. Step 3: Cross multiply
    1,939.42x = 2,909.49 × 706.74
  4. Step 4: Simplify right side
    1,939.42x = 2,056,252.96
  5. Step 5: Solve for x
    x = 2,056,252.96/1,939.42
  6. Step 6: Final answer
    x = 1,060.24

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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.