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Finding the Fourth Proportional to 1,909.52, 2,863.81 and 739.13

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Solution

The fourth proportional to 1,909.52, 2,863.81 and 739.13 is: 1,108.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.52 : 2,863.81 = 739.13 : x
  2. Step 2: Convert to fraction form
    1,909.52/2,863.81 = 739.13/x
  3. Step 3: Cross multiply
    1,909.52x = 2,863.81 × 739.13
  4. Step 4: Simplify right side
    1,909.52x = 2,116,733.20
  5. Step 5: Solve for x
    x = 2,116,733.20/1,909.52
  6. Step 6: Final answer
    x = 1,108.52

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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.