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Finding the Fourth Proportional to 2,532.94, 3,799.46 and 1,146.02

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Solution

The fourth proportional to 2,532.94, 3,799.46 and 1,146.02 is: 1,719.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.94 : 3,799.46 = 1,146.02 : x
  2. Step 2: Convert to fraction form
    2,532.94/3,799.46 = 1,146.02/x
  3. Step 3: Cross multiply
    2,532.94x = 3,799.46 × 1,146.02
  4. Step 4: Simplify right side
    2,532.94x = 4,354,257.15
  5. Step 5: Solve for x
    x = 4,354,257.15/2,532.94
  6. Step 6: Final answer
    x = 1,719.05

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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.