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Finding the Fourth Proportional to 2,096.01, 2,892.86 and 1,567.54

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Solution

The fourth proportional to 2,096.01, 2,892.86 and 1,567.54 is: 2,163.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.01 : 2,892.86 = 1,567.54 : x
  2. Step 2: Convert to fraction form
    2,096.01/2,892.86 = 1,567.54/x
  3. Step 3: Cross multiply
    2,096.01x = 2,892.86 × 1,567.54
  4. Step 4: Simplify right side
    2,096.01x = 4,534,673.76
  5. Step 5: Solve for x
    x = 4,534,673.76/2,096.01
  6. Step 6: Final answer
    x = 2,163.48

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