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Finding the Fourth Proportional to 2,096.01, 2,889 and 1,571.13

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Solution

The fourth proportional to 2,096.01, 2,889 and 1,571.13 is: 2,165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.01 : 2,889 = 1,571.13 : x
  2. Step 2: Convert to fraction form
    2,096.01/2,889 = 1,571.13/x
  3. Step 3: Cross multiply
    2,096.01x = 2,889 × 1,571.13
  4. Step 4: Simplify right side
    2,096.01x = 4,538,994.57
  5. Step 5: Solve for x
    x = 4,538,994.57/2,096.01
  6. Step 6: Final answer
    x = 2,165.54

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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.