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Finding the Fourth Proportional to 1,838.36, 2,535 and 1,279.44

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Solution

The fourth proportional to 1,838.36, 2,535 and 1,279.44 is: 1,764.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.36 : 2,535 = 1,279.44 : x
  2. Step 2: Convert to fraction form
    1,838.36/2,535 = 1,279.44/x
  3. Step 3: Cross multiply
    1,838.36x = 2,535 × 1,279.44
  4. Step 4: Simplify right side
    1,838.36x = 3,243,380.40
  5. Step 5: Solve for x
    x = 3,243,380.40/1,838.36
  6. Step 6: Final answer
    x = 1,764.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.