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Finding the Fourth Proportional to 2,703.30, 3,730.55 and 1,461.30

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Solution

The fourth proportional to 2,703.30, 3,730.55 and 1,461.30 is: 2,016.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.30 : 3,730.55 = 1,461.30 : x
  2. Step 2: Convert to fraction form
    2,703.30/3,730.55 = 1,461.30/x
  3. Step 3: Cross multiply
    2,703.30x = 3,730.55 × 1,461.30
  4. Step 4: Simplify right side
    2,703.30x = 5,451,452.72
  5. Step 5: Solve for x
    x = 5,451,452.72/2,703.30
  6. Step 6: Final answer
    x = 2,016.59

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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.