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Finding the Fourth Proportional to 1,857.08, 2,785.14 and 881.24

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Solution

The fourth proportional to 1,857.08, 2,785.14 and 881.24 is: 1,321.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.08 : 2,785.14 = 881.24 : x
  2. Step 2: Convert to fraction form
    1,857.08/2,785.14 = 881.24/x
  3. Step 3: Cross multiply
    1,857.08x = 2,785.14 × 881.24
  4. Step 4: Simplify right side
    1,857.08x = 2,454,376.77
  5. Step 5: Solve for x
    x = 2,454,376.77/1,857.08
  6. Step 6: Final answer
    x = 1,321.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.