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Finding the Fourth Proportional to 2,096.24, 2,889.24 and 1,431.93

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Solution

The fourth proportional to 2,096.24, 2,889.24 and 1,431.93 is: 1,973.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.24 : 2,889.24 = 1,431.93 : x
  2. Step 2: Convert to fraction form
    2,096.24/2,889.24 = 1,431.93/x
  3. Step 3: Cross multiply
    2,096.24x = 2,889.24 × 1,431.93
  4. Step 4: Simplify right side
    2,096.24x = 4,137,194.90
  5. Step 5: Solve for x
    x = 4,137,194.90/2,096.24
  6. Step 6: Final answer
    x = 1,973.63

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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.