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Finding the Fourth Proportional to 2,096.96, 2,887.20 and 1,781.60

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Solution

The fourth proportional to 2,096.96, 2,887.20 and 1,781.60 is: 2,453.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.96 : 2,887.20 = 1,781.60 : x
  2. Step 2: Convert to fraction form
    2,096.96/2,887.20 = 1,781.60/x
  3. Step 3: Cross multiply
    2,096.96x = 2,887.20 × 1,781.60
  4. Step 4: Simplify right side
    2,096.96x = 5,143,835.52
  5. Step 5: Solve for x
    x = 5,143,835.52/2,096.96
  6. Step 6: Final answer
    x = 2,453.00

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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.