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Finding the Fourth Proportional to 2,136.79, 3,200.93 and 1,404.15

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Solution

The fourth proportional to 2,136.79, 3,200.93 and 1,404.15 is: 2,103.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.79 : 3,200.93 = 1,404.15 : x
  2. Step 2: Convert to fraction form
    2,136.79/3,200.93 = 1,404.15/x
  3. Step 3: Cross multiply
    2,136.79x = 3,200.93 × 1,404.15
  4. Step 4: Simplify right side
    2,136.79x = 4,494,572.10
  5. Step 5: Solve for x
    x = 4,494,572.10/2,136.79
  6. Step 6: Final answer
    x = 2,103.42

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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.