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Finding the Fourth Proportional to 2,703.11, 3,730.26 and 1,461.11

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Solution

The fourth proportional to 2,703.11, 3,730.26 and 1,461.11 is: 2,016.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.11 : 3,730.26 = 1,461.11 : x
  2. Step 2: Convert to fraction form
    2,703.11/3,730.26 = 1,461.11/x
  3. Step 3: Cross multiply
    2,703.11x = 3,730.26 × 1,461.11
  4. Step 4: Simplify right side
    2,703.11x = 5,450,301.54
  5. Step 5: Solve for x
    x = 5,450,301.54/2,703.11
  6. Step 6: Final answer
    x = 2,016.31

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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.