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Finding the Fourth Proportional to 2,073.84, 3,110.16 and 1,136.64

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Solution

The fourth proportional to 2,073.84, 3,110.16 and 1,136.64 is: 1,704.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.84 : 3,110.16 = 1,136.64 : x
  2. Step 2: Convert to fraction form
    2,073.84/3,110.16 = 1,136.64/x
  3. Step 3: Cross multiply
    2,073.84x = 3,110.16 × 1,136.64
  4. Step 4: Simplify right side
    2,073.84x = 3,535,132.26
  5. Step 5: Solve for x
    x = 3,535,132.26/2,073.84
  6. Step 6: Final answer
    x = 1,704.63

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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.