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Finding the Fourth Proportional to 1,770.42, 2,657.68 and 950.29

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Solution

The fourth proportional to 1,770.42, 2,657.68 and 950.29 is: 1,426.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.42 : 2,657.68 = 950.29 : x
  2. Step 2: Convert to fraction form
    1,770.42/2,657.68 = 950.29/x
  3. Step 3: Cross multiply
    1,770.42x = 2,657.68 × 950.29
  4. Step 4: Simplify right side
    1,770.42x = 2,525,566.73
  5. Step 5: Solve for x
    x = 2,525,566.73/1,770.42
  6. Step 6: Final answer
    x = 1,426.54

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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.