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Finding the Fourth Proportional to 2,035.89, 3,055.58 and 804.18

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Solution

The fourth proportional to 2,035.89, 3,055.58 and 804.18 is: 1,206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.89 : 3,055.58 = 804.18 : x
  2. Step 2: Convert to fraction form
    2,035.89/3,055.58 = 804.18/x
  3. Step 3: Cross multiply
    2,035.89x = 3,055.58 × 804.18
  4. Step 4: Simplify right side
    2,035.89x = 2,457,232.30
  5. Step 5: Solve for x
    x = 2,457,232.30/2,035.89
  6. Step 6: Final answer
    x = 1,206.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.