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Finding the Fourth Proportional to 3,492.08, 5,230.80 and 1,644.80

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Solution

The fourth proportional to 3,492.08, 5,230.80 and 1,644.80 is: 2,463.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.08 : 5,230.80 = 1,644.80 : x
  2. Step 2: Convert to fraction form
    3,492.08/5,230.80 = 1,644.80/x
  3. Step 3: Cross multiply
    3,492.08x = 5,230.80 × 1,644.80
  4. Step 4: Simplify right side
    3,492.08x = 8,603,619.84
  5. Step 5: Solve for x
    x = 8,603,619.84/3,492.08
  6. Step 6: Final answer
    x = 2,463.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.