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Finding the Fourth Proportional to 2,759.66, 4,141.57 and 1,461.42

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Solution

The fourth proportional to 2,759.66, 4,141.57 and 1,461.42 is: 2,193.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.66 : 4,141.57 = 1,461.42 : x
  2. Step 2: Convert to fraction form
    2,759.66/4,141.57 = 1,461.42/x
  3. Step 3: Cross multiply
    2,759.66x = 4,141.57 × 1,461.42
  4. Step 4: Simplify right side
    2,759.66x = 6,052,573.23
  5. Step 5: Solve for x
    x = 6,052,573.23/2,759.66
  6. Step 6: Final answer
    x = 2,193.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.