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Finding the Fourth Proportional to 2,276.53, 3,411.69 and 1,104.91

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Solution

The fourth proportional to 2,276.53, 3,411.69 and 1,104.91 is: 1,655.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.53 : 3,411.69 = 1,104.91 : x
  2. Step 2: Convert to fraction form
    2,276.53/3,411.69 = 1,104.91/x
  3. Step 3: Cross multiply
    2,276.53x = 3,411.69 × 1,104.91
  4. Step 4: Simplify right side
    2,276.53x = 3,769,610.40
  5. Step 5: Solve for x
    x = 3,769,610.40/2,276.53
  6. Step 6: Final answer
    x = 1,655.86

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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.