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Finding the Fourth Proportional to 3,090.67, 4,636.68 and 1,446.32

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Solution

The fourth proportional to 3,090.67, 4,636.68 and 1,446.32 is: 2,169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.67 : 4,636.68 = 1,446.32 : x
  2. Step 2: Convert to fraction form
    3,090.67/4,636.68 = 1,446.32/x
  3. Step 3: Cross multiply
    3,090.67x = 4,636.68 × 1,446.32
  4. Step 4: Simplify right side
    3,090.67x = 6,706,123.02
  5. Step 5: Solve for x
    x = 6,706,123.02/3,090.67
  6. Step 6: Final answer
    x = 2,169.80

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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.