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Finding the Fourth Proportional to 2,032.89, 3,046.90 and 1,544.46

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Solution

The fourth proportional to 2,032.89, 3,046.90 and 1,544.46 is: 2,314.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.89 : 3,046.90 = 1,544.46 : x
  2. Step 2: Convert to fraction form
    2,032.89/3,046.90 = 1,544.46/x
  3. Step 3: Cross multiply
    2,032.89x = 3,046.90 × 1,544.46
  4. Step 4: Simplify right side
    2,032.89x = 4,705,815.17
  5. Step 5: Solve for x
    x = 4,705,815.17/2,032.89
  6. Step 6: Final answer
    x = 2,314.84

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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.