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Finding the Fourth Proportional to 3,103.75, 4,655.64 and 1,155.94

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Solution

The fourth proportional to 3,103.75, 4,655.64 and 1,155.94 is: 1,733.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.75 : 4,655.64 = 1,155.94 : x
  2. Step 2: Convert to fraction form
    3,103.75/4,655.64 = 1,155.94/x
  3. Step 3: Cross multiply
    3,103.75x = 4,655.64 × 1,155.94
  4. Step 4: Simplify right side
    3,103.75x = 5,381,633.20
  5. Step 5: Solve for x
    x = 5,381,633.20/3,103.75
  6. Step 6: Final answer
    x = 1,733.91

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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.