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Finding the Fourth Proportional to 1,786.64, 2,679.95 and 813.02

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Solution

The fourth proportional to 1,786.64, 2,679.95 and 813.02 is: 1,219.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.64 : 2,679.95 = 813.02 : x
  2. Step 2: Convert to fraction form
    1,786.64/2,679.95 = 813.02/x
  3. Step 3: Cross multiply
    1,786.64x = 2,679.95 × 813.02
  4. Step 4: Simplify right side
    1,786.64x = 2,178,841.58
  5. Step 5: Solve for x
    x = 2,178,841.58/1,786.64
  6. Step 6: Final answer
    x = 1,219.52

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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.