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Finding the Fourth Proportional to 3,442.50, 4,751.46 and 2,046.06

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Solution

The fourth proportional to 3,442.50, 4,751.46 and 2,046.06 is: 2,824.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.50 : 4,751.46 = 2,046.06 : x
  2. Step 2: Convert to fraction form
    3,442.50/4,751.46 = 2,046.06/x
  3. Step 3: Cross multiply
    3,442.50x = 4,751.46 × 2,046.06
  4. Step 4: Simplify right side
    3,442.50x = 9,721,772.25
  5. Step 5: Solve for x
    x = 9,721,772.25/3,442.50
  6. Step 6: Final answer
    x = 2,824.04

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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.