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Finding the Fourth Proportional to 1,770.40, 2,651.56 and 846.61

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Solution

The fourth proportional to 1,770.40, 2,651.56 and 846.61 is: 1,267.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.40 : 2,651.56 = 846.61 : x
  2. Step 2: Convert to fraction form
    1,770.40/2,651.56 = 846.61/x
  3. Step 3: Cross multiply
    1,770.40x = 2,651.56 × 846.61
  4. Step 4: Simplify right side
    1,770.40x = 2,244,837.21
  5. Step 5: Solve for x
    x = 2,244,837.21/1,770.40
  6. Step 6: Final answer
    x = 1,267.98

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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.