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Finding the Fourth Proportional to 1,296, 1,953.72 and 1,276.56

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Solution

The fourth proportional to 1,296, 1,953.72 and 1,276.56 is: 1,924.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296 : 1,953.72 = 1,276.56 : x
  2. Step 2: Convert to fraction form
    1,296/1,953.72 = 1,276.56/x
  3. Step 3: Cross multiply
    1,296x = 1,953.72 × 1,276.56
  4. Step 4: Simplify right side
    1,296x = 2,494,040.80
  5. Step 5: Solve for x
    x = 2,494,040.80/1,296
  6. Step 6: Final answer
    x = 1,924.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.