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Finding the Fourth Proportional to 1,850.14, 2,553.06 and 1,378

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Solution

The fourth proportional to 1,850.14, 2,553.06 and 1,378 is: 1,901.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.14 : 2,553.06 = 1,378 : x
  2. Step 2: Convert to fraction form
    1,850.14/2,553.06 = 1,378/x
  3. Step 3: Cross multiply
    1,850.14x = 2,553.06 × 1,378
  4. Step 4: Simplify right side
    1,850.14x = 3,518,116.68
  5. Step 5: Solve for x
    x = 3,518,116.68/1,850.14
  6. Step 6: Final answer
    x = 1,901.54

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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.