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Finding the Fourth Proportional to 3,415.41, 5,123.13 and 1,224.78

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Solution

The fourth proportional to 3,415.41, 5,123.13 and 1,224.78 is: 1,837.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.41 : 5,123.13 = 1,224.78 : x
  2. Step 2: Convert to fraction form
    3,415.41/5,123.13 = 1,224.78/x
  3. Step 3: Cross multiply
    3,415.41x = 5,123.13 × 1,224.78
  4. Step 4: Simplify right side
    3,415.41x = 6,274,707.16
  5. Step 5: Solve for x
    x = 6,274,707.16/3,415.41
  6. Step 6: Final answer
    x = 1,837.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.