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Finding the Fourth Proportional to 1,909.50, 2,863.34 and 740.04

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Solution

The fourth proportional to 1,909.50, 2,863.34 and 740.04 is: 1,109.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.50 : 2,863.34 = 740.04 : x
  2. Step 2: Convert to fraction form
    1,909.50/2,863.34 = 740.04/x
  3. Step 3: Cross multiply
    1,909.50x = 2,863.34 × 740.04
  4. Step 4: Simplify right side
    1,909.50x = 2,118,995.95
  5. Step 5: Solve for x
    x = 2,118,995.95/1,909.50
  6. Step 6: Final answer
    x = 1,109.71

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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.