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Finding the Fourth Proportional to 3,089.60, 4,634.36 and 749.63

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Solution

The fourth proportional to 3,089.60, 4,634.36 and 749.63 is: 1,124.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.60 : 4,634.36 = 749.63 : x
  2. Step 2: Convert to fraction form
    3,089.60/4,634.36 = 749.63/x
  3. Step 3: Cross multiply
    3,089.60x = 4,634.36 × 749.63
  4. Step 4: Simplify right side
    3,089.60x = 3,474,035.39
  5. Step 5: Solve for x
    x = 3,474,035.39/3,089.60
  6. Step 6: Final answer
    x = 1,124.43

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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.