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Finding the Fourth Proportional to 2,336.87, 3,505.31 and 1,103.64

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Solution

The fourth proportional to 2,336.87, 3,505.31 and 1,103.64 is: 1,655.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.87 : 3,505.31 = 1,103.64 : x
  2. Step 2: Convert to fraction form
    2,336.87/3,505.31 = 1,103.64/x
  3. Step 3: Cross multiply
    2,336.87x = 3,505.31 × 1,103.64
  4. Step 4: Simplify right side
    2,336.87x = 3,868,605.52
  5. Step 5: Solve for x
    x = 3,868,605.52/2,336.87
  6. Step 6: Final answer
    x = 1,655.47

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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.