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Finding the Fourth Proportional to 2,096.34, 2,892.48 and 1,212.12

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Solution

The fourth proportional to 2,096.34, 2,892.48 and 1,212.12 is: 1,672.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.34 : 2,892.48 = 1,212.12 : x
  2. Step 2: Convert to fraction form
    2,096.34/2,892.48 = 1,212.12/x
  3. Step 3: Cross multiply
    2,096.34x = 2,892.48 × 1,212.12
  4. Step 4: Simplify right side
    2,096.34x = 3,506,032.86
  5. Step 5: Solve for x
    x = 3,506,032.86/2,096.34
  6. Step 6: Final answer
    x = 1,672.45

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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.