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Finding the Fourth Proportional to 1,850.36, 2,553.57 and 1,064.40

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Solution

The fourth proportional to 1,850.36, 2,553.57 and 1,064.40 is: 1,468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.36 : 2,553.57 = 1,064.40 : x
  2. Step 2: Convert to fraction form
    1,850.36/2,553.57 = 1,064.40/x
  3. Step 3: Cross multiply
    1,850.36x = 2,553.57 × 1,064.40
  4. Step 4: Simplify right side
    1,850.36x = 2,718,019.91
  5. Step 5: Solve for x
    x = 2,718,019.91/1,850.36
  6. Step 6: Final answer
    x = 1,468.92

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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.