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Finding the Fourth Proportional to 3,090.82, 4,635.39 and 898.98

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Solution

The fourth proportional to 3,090.82, 4,635.39 and 898.98 is: 1,348.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.82 : 4,635.39 = 898.98 : x
  2. Step 2: Convert to fraction form
    3,090.82/4,635.39 = 898.98/x
  3. Step 3: Cross multiply
    3,090.82x = 4,635.39 × 898.98
  4. Step 4: Simplify right side
    3,090.82x = 4,167,122.90
  5. Step 5: Solve for x
    x = 4,167,122.90/3,090.82
  6. Step 6: Final answer
    x = 1,348.23

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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.