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Finding the Fourth Proportional to 2,156.86, 3,232.20 and 1,230.50

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Solution

The fourth proportional to 2,156.86, 3,232.20 and 1,230.50 is: 1,843.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.86 : 3,232.20 = 1,230.50 : x
  2. Step 2: Convert to fraction form
    2,156.86/3,232.20 = 1,230.50/x
  3. Step 3: Cross multiply
    2,156.86x = 3,232.20 × 1,230.50
  4. Step 4: Simplify right side
    2,156.86x = 3,977,222.10
  5. Step 5: Solve for x
    x = 3,977,222.10/2,156.86
  6. Step 6: Final answer
    x = 1,843.99

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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.