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Finding the Fourth Proportional to 1,634.23, 2,447.88 and 757.45

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Solution

The fourth proportional to 1,634.23, 2,447.88 and 757.45 is: 1,134.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.23 : 2,447.88 = 757.45 : x
  2. Step 2: Convert to fraction form
    1,634.23/2,447.88 = 757.45/x
  3. Step 3: Cross multiply
    1,634.23x = 2,447.88 × 757.45
  4. Step 4: Simplify right side
    1,634.23x = 1,854,146.71
  5. Step 5: Solve for x
    x = 1,854,146.71/1,634.23
  6. Step 6: Final answer
    x = 1,134.57

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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.