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Finding the Fourth Proportional to 2,896.56, 3,998.16 and 1,953.72

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Solution

The fourth proportional to 2,896.56, 3,998.16 and 1,953.72 is: 2,696.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.56 : 3,998.16 = 1,953.72 : x
  2. Step 2: Convert to fraction form
    2,896.56/3,998.16 = 1,953.72/x
  3. Step 3: Cross multiply
    2,896.56x = 3,998.16 × 1,953.72
  4. Step 4: Simplify right side
    2,896.56x = 7,811,285.16
  5. Step 5: Solve for x
    x = 7,811,285.16/2,896.56
  6. Step 6: Final answer
    x = 2,696.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.