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Finding the Fourth Proportional to 3,073.65, 4,241.63 and 1,676.40

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Solution

The fourth proportional to 3,073.65, 4,241.63 and 1,676.40 is: 2,313.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.65 : 4,241.63 = 1,676.40 : x
  2. Step 2: Convert to fraction form
    3,073.65/4,241.63 = 1,676.40/x
  3. Step 3: Cross multiply
    3,073.65x = 4,241.63 × 1,676.40
  4. Step 4: Simplify right side
    3,073.65x = 7,110,656.82
  5. Step 5: Solve for x
    x = 7,110,656.82/3,073.65
  6. Step 6: Final answer
    x = 2,313.43

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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.