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Finding the Fourth Proportional to 3,043.85, 4,200.41 and 1,699.49

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Solution

The fourth proportional to 3,043.85, 4,200.41 and 1,699.49 is: 2,345.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.85 : 4,200.41 = 1,699.49 : x
  2. Step 2: Convert to fraction form
    3,043.85/4,200.41 = 1,699.49/x
  3. Step 3: Cross multiply
    3,043.85x = 4,200.41 × 1,699.49
  4. Step 4: Simplify right side
    3,043.85x = 7,138,569.54
  5. Step 5: Solve for x
    x = 7,138,569.54/3,043.85
  6. Step 6: Final answer
    x = 2,345.25

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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.