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Finding the Fourth Proportional to 1,314.56, 1,821.76 and 1,296

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Solution

The fourth proportional to 1,314.56, 1,821.76 and 1,296 is: 1,796.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.56 : 1,821.76 = 1,296 : x
  2. Step 2: Convert to fraction form
    1,314.56/1,821.76 = 1,296/x
  3. Step 3: Cross multiply
    1,314.56x = 1,821.76 × 1,296
  4. Step 4: Simplify right side
    1,314.56x = 2,361,000.96
  5. Step 5: Solve for x
    x = 2,361,000.96/1,314.56
  6. Step 6: Final answer
    x = 1,796.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.