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Finding the Fourth Proportional to 3,021.23, 4,531.65 and 912.81

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Solution

The fourth proportional to 3,021.23, 4,531.65 and 912.81 is: 1,369.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.23 : 4,531.65 = 912.81 : x
  2. Step 2: Convert to fraction form
    3,021.23/4,531.65 = 912.81/x
  3. Step 3: Cross multiply
    3,021.23x = 4,531.65 × 912.81
  4. Step 4: Simplify right side
    3,021.23x = 4,136,535.44
  5. Step 5: Solve for x
    x = 4,136,535.44/3,021.23
  6. Step 6: Final answer
    x = 1,369.16

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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.