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Finding the Fourth Proportional to 2,152.76, 3,223.92 and 1,225.50

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Solution

The fourth proportional to 2,152.76, 3,223.92 and 1,225.50 is: 1,835.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.76 : 3,223.92 = 1,225.50 : x
  2. Step 2: Convert to fraction form
    2,152.76/3,223.92 = 1,225.50/x
  3. Step 3: Cross multiply
    2,152.76x = 3,223.92 × 1,225.50
  4. Step 4: Simplify right side
    2,152.76x = 3,950,913.96
  5. Step 5: Solve for x
    x = 3,950,913.96/2,152.76
  6. Step 6: Final answer
    x = 1,835.28

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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.