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Finding the Fourth Proportional to 1,850.34, 2,553.81 and 1,064.46

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Solution

The fourth proportional to 1,850.34, 2,553.81 and 1,064.46 is: 1,469.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.34 : 2,553.81 = 1,064.46 : x
  2. Step 2: Convert to fraction form
    1,850.34/2,553.81 = 1,064.46/x
  3. Step 3: Cross multiply
    1,850.34x = 2,553.81 × 1,064.46
  4. Step 4: Simplify right side
    1,850.34x = 2,718,428.59
  5. Step 5: Solve for x
    x = 2,718,428.59/1,850.34
  6. Step 6: Final answer
    x = 1,469.15

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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.