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Finding the Fourth Proportional to 1,857.22, 2,785.17 and 1,335.65

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Solution

The fourth proportional to 1,857.22, 2,785.17 and 1,335.65 is: 2,003.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.22 : 2,785.17 = 1,335.65 : x
  2. Step 2: Convert to fraction form
    1,857.22/2,785.17 = 1,335.65/x
  3. Step 3: Cross multiply
    1,857.22x = 2,785.17 × 1,335.65
  4. Step 4: Simplify right side
    1,857.22x = 3,720,012.31
  5. Step 5: Solve for x
    x = 3,720,012.31/1,857.22
  6. Step 6: Final answer
    x = 2,003.00

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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.