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Finding the Fourth Proportional to 2,264.36, 3,125.14 and 1,380.36

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Solution

The fourth proportional to 2,264.36, 3,125.14 and 1,380.36 is: 1,905.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.36 : 3,125.14 = 1,380.36 : x
  2. Step 2: Convert to fraction form
    2,264.36/3,125.14 = 1,380.36/x
  3. Step 3: Cross multiply
    2,264.36x = 3,125.14 × 1,380.36
  4. Step 4: Simplify right side
    2,264.36x = 4,313,818.25
  5. Step 5: Solve for x
    x = 4,313,818.25/2,264.36
  6. Step 6: Final answer
    x = 1,905.09

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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.