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Finding the Fourth Proportional to 2,233.02, 3,348.72 and 845.65

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Solution

The fourth proportional to 2,233.02, 3,348.72 and 845.65 is: 1,268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.02 : 3,348.72 = 845.65 : x
  2. Step 2: Convert to fraction form
    2,233.02/3,348.72 = 845.65/x
  3. Step 3: Cross multiply
    2,233.02x = 3,348.72 × 845.65
  4. Step 4: Simplify right side
    2,233.02x = 2,831,836.70
  5. Step 5: Solve for x
    x = 2,831,836.70/2,233.02
  6. Step 6: Final answer
    x = 1,268.16

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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.