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Finding the Fourth Proportional to 2,333.94, 3,500.10 and 1,295.52

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Solution

The fourth proportional to 2,333.94, 3,500.10 and 1,295.52 is: 1,942.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.94 : 3,500.10 = 1,295.52 : x
  2. Step 2: Convert to fraction form
    2,333.94/3,500.10 = 1,295.52/x
  3. Step 3: Cross multiply
    2,333.94x = 3,500.10 × 1,295.52
  4. Step 4: Simplify right side
    2,333.94x = 4,534,449.55
  5. Step 5: Solve for x
    x = 4,534,449.55/2,333.94
  6. Step 6: Final answer
    x = 1,942.83

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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.