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Finding the Fourth Proportional to 2,814.96, 4,222.32 and 735

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Solution

The fourth proportional to 2,814.96, 4,222.32 and 735 is: 1,102.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.96 : 4,222.32 = 735 : x
  2. Step 2: Convert to fraction form
    2,814.96/4,222.32 = 735/x
  3. Step 3: Cross multiply
    2,814.96x = 4,222.32 × 735
  4. Step 4: Simplify right side
    2,814.96x = 3,103,405.20
  5. Step 5: Solve for x
    x = 3,103,405.20/2,814.96
  6. Step 6: Final answer
    x = 1,102.47

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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.