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Finding the Fourth Proportional to 1,893.64, 2,841.54 and 739.12

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Solution

The fourth proportional to 1,893.64, 2,841.54 and 739.12 is: 1,109.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.64 : 2,841.54 = 739.12 : x
  2. Step 2: Convert to fraction form
    1,893.64/2,841.54 = 739.12/x
  3. Step 3: Cross multiply
    1,893.64x = 2,841.54 × 739.12
  4. Step 4: Simplify right side
    1,893.64x = 2,100,239.04
  5. Step 5: Solve for x
    x = 2,100,239.04/1,893.64
  6. Step 6: Final answer
    x = 1,109.10

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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.