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Finding the Fourth Proportional to 1,785.23, 2,677.84 and 811.41

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Solution

The fourth proportional to 1,785.23, 2,677.84 and 811.41 is: 1,217.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.23 : 2,677.84 = 811.41 : x
  2. Step 2: Convert to fraction form
    1,785.23/2,677.84 = 811.41/x
  3. Step 3: Cross multiply
    1,785.23x = 2,677.84 × 811.41
  4. Step 4: Simplify right side
    1,785.23x = 2,172,826.15
  5. Step 5: Solve for x
    x = 2,172,826.15/1,785.23
  6. Step 6: Final answer
    x = 1,217.11

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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.