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Finding the Fourth Proportional to 1,857.11, 2,785.19 and 817.37

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Solution

The fourth proportional to 1,857.11, 2,785.19 and 817.37 is: 1,225.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.11 : 2,785.19 = 817.37 : x
  2. Step 2: Convert to fraction form
    1,857.11/2,785.19 = 817.37/x
  3. Step 3: Cross multiply
    1,857.11x = 2,785.19 × 817.37
  4. Step 4: Simplify right side
    1,857.11x = 2,276,518.87
  5. Step 5: Solve for x
    x = 2,276,518.87/1,857.11
  6. Step 6: Final answer
    x = 1,225.84

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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.