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Finding the Fourth Proportional to 1,770.23, 2,651.30 and 846.44

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Solution

The fourth proportional to 1,770.23, 2,651.30 and 846.44 is: 1,267.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.23 : 2,651.30 = 846.44 : x
  2. Step 2: Convert to fraction form
    1,770.23/2,651.30 = 846.44/x
  3. Step 3: Cross multiply
    1,770.23x = 2,651.30 × 846.44
  4. Step 4: Simplify right side
    1,770.23x = 2,244,162.00
  5. Step 5: Solve for x
    x = 2,244,162.00/1,770.23
  6. Step 6: Final answer
    x = 1,267.72

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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.