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Finding the Fourth Proportional to 2,089.79, 3,136.25 and 1,683.84

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Solution

The fourth proportional to 2,089.79, 3,136.25 and 1,683.84 is: 2,527.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.79 : 3,136.25 = 1,683.84 : x
  2. Step 2: Convert to fraction form
    2,089.79/3,136.25 = 1,683.84/x
  3. Step 3: Cross multiply
    2,089.79x = 3,136.25 × 1,683.84
  4. Step 4: Simplify right side
    2,089.79x = 5,280,943.20
  5. Step 5: Solve for x
    x = 5,280,943.20/2,089.79
  6. Step 6: Final answer
    x = 2,527.02

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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.