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Finding the Fourth Proportional to 2,797.50, 4,171.53 and 2,596.62

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Solution

The fourth proportional to 2,797.50, 4,171.53 and 2,596.62 is: 3,871.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.50 : 4,171.53 = 2,596.62 : x
  2. Step 2: Convert to fraction form
    2,797.50/4,171.53 = 2,596.62/x
  3. Step 3: Cross multiply
    2,797.50x = 4,171.53 × 2,596.62
  4. Step 4: Simplify right side
    2,797.50x = 10,831,878.23
  5. Step 5: Solve for x
    x = 10,831,878.23/2,797.50
  6. Step 6: Final answer
    x = 3,871.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.