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Finding the Fourth Proportional to 3,043.89, 4,200.55 and 1,646.64

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Solution

The fourth proportional to 3,043.89, 4,200.55 and 1,646.64 is: 2,272.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.89 : 4,200.55 = 1,646.64 : x
  2. Step 2: Convert to fraction form
    3,043.89/4,200.55 = 1,646.64/x
  3. Step 3: Cross multiply
    3,043.89x = 4,200.55 × 1,646.64
  4. Step 4: Simplify right side
    3,043.89x = 6,916,793.65
  5. Step 5: Solve for x
    x = 6,916,793.65/3,043.89
  6. Step 6: Final answer
    x = 2,272.35

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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.