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Finding the Fourth Proportional to 1,770.20, 2,655.38 and 674.36

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Solution

The fourth proportional to 1,770.20, 2,655.38 and 674.36 is: 1,011.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.20 : 2,655.38 = 674.36 : x
  2. Step 2: Convert to fraction form
    1,770.20/2,655.38 = 674.36/x
  3. Step 3: Cross multiply
    1,770.20x = 2,655.38 × 674.36
  4. Step 4: Simplify right side
    1,770.20x = 1,790,670.47
  5. Step 5: Solve for x
    x = 1,790,670.47/1,770.20
  6. Step 6: Final answer
    x = 1,011.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.