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Finding the Fourth Proportional to 3,440.94, 4,748.51 and 2,264.12

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Solution

The fourth proportional to 3,440.94, 4,748.51 and 2,264.12 is: 3,124.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.94 : 4,748.51 = 2,264.12 : x
  2. Step 2: Convert to fraction form
    3,440.94/4,748.51 = 2,264.12/x
  3. Step 3: Cross multiply
    3,440.94x = 4,748.51 × 2,264.12
  4. Step 4: Simplify right side
    3,440.94x = 10,751,185.14
  5. Step 5: Solve for x
    x = 10,751,185.14/3,440.94
  6. Step 6: Final answer
    x = 3,124.49

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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.