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Finding the Fourth Proportional to 2,027.54, 2,798.00 and 1,096.04

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Solution

The fourth proportional to 2,027.54, 2,798.00 and 1,096.04 is: 1,512.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.54 : 2,798.00 = 1,096.04 : x
  2. Step 2: Convert to fraction form
    2,027.54/2,798.00 = 1,096.04/x
  3. Step 3: Cross multiply
    2,027.54x = 2,798.00 × 1,096.04
  4. Step 4: Simplify right side
    2,027.54x = 3,066,715.67
  5. Step 5: Solve for x
    x = 3,066,715.67/2,027.54
  6. Step 6: Final answer
    x = 1,512.53

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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.