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Finding the Fourth Proportional to 3,043.74, 4,200.35 and 1,646.49

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Solution

The fourth proportional to 3,043.74, 4,200.35 and 1,646.49 is: 2,272.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.74 : 4,200.35 = 1,646.49 : x
  2. Step 2: Convert to fraction form
    3,043.74/4,200.35 = 1,646.49/x
  3. Step 3: Cross multiply
    3,043.74x = 4,200.35 × 1,646.49
  4. Step 4: Simplify right side
    3,043.74x = 6,915,834.27
  5. Step 5: Solve for x
    x = 6,915,834.27/3,043.74
  6. Step 6: Final answer
    x = 2,272.15

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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.