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Finding the Fourth Proportional to 2,823.34, 4,236.04 and 1,263.22

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Solution

The fourth proportional to 2,823.34, 4,236.04 and 1,263.22 is: 1,895.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.34 : 4,236.04 = 1,263.22 : x
  2. Step 2: Convert to fraction form
    2,823.34/4,236.04 = 1,263.22/x
  3. Step 3: Cross multiply
    2,823.34x = 4,236.04 × 1,263.22
  4. Step 4: Simplify right side
    2,823.34x = 5,351,050.45
  5. Step 5: Solve for x
    x = 5,351,050.45/2,823.34
  6. Step 6: Final answer
    x = 1,895.29

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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.